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Simplifying 3(5q + -8) = 3q Reorder the terms: 3(-8 + 5q) = 3q (-8 * 3 + 5q * 3) = 3q (-24 + 15q) = 3q Solving -24 + 15q = 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -24 + 15q + -3q = 3q + -3q Combine like terms: 15q + -3q = 12q -24 + 12q = 3q + -3q Combine like terms: 3q + -3q = 0 -24 + 12q = 0 Add '24' to each side of the equation. -24 + 24 + 12q = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 12q = 0 + 24 12q = 0 + 24 Combine like terms: 0 + 24 = 24 12q = 24 Divide each side by '12'. q = 2 Simplifying q = 2
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