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Simplifying 3(q + -4) = 3 + -2q Reorder the terms: 3(-4 + q) = 3 + -2q (-4 * 3 + q * 3) = 3 + -2q (-12 + 3q) = 3 + -2q Solving -12 + 3q = 3 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. -12 + 3q + 2q = 3 + -2q + 2q Combine like terms: 3q + 2q = 5q -12 + 5q = 3 + -2q + 2q Combine like terms: -2q + 2q = 0 -12 + 5q = 3 + 0 -12 + 5q = 3 Add '12' to each side of the equation. -12 + 12 + 5q = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 5q = 3 + 12 5q = 3 + 12 Combine like terms: 3 + 12 = 15 5q = 15 Divide each side by '5'. q = 3 Simplifying q = 3
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