Solving Equations

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Distribute the numbers outside the parentheses: 4a - 4 = 2a + 6.

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First, divide both sides by 3 to get y + 4 = 7, then subtract 4 from both sides to find y.

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Add 4 to both sides to isolate x: x = 10.

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Multiply both sides by 5 to isolate x: x = -1.

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Multiply both sides by 4 to isolate x: x = 20.

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What does it mean to 'isolate the variable' in an equation?

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It means to manipulate the equation so that the variable is on one side and all other terms are on the other side.

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What is the purpose of distributing in an equation?

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Distributing allows you to eliminate parentheses and simplify the equation for easier solving.

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What is the definition of a linear equation?

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What is the solution set of an equation?

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The solution set is the set of all values that satisfy the equation.

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What is the importance of checking your solution in an equation?

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Checking your solution ensures that the value satisfies the original equation, confirming its correctness.