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Simplifying 3(2q + -4) = 5(q + 7) Reorder the terms: 3(-4 + 2q) = 5(q + 7) (-4 * 3 + 2q * 3) = 5(q + 7) (-12 + 6q) = 5(q + 7) Reorder the terms: -12 + 6q = 5(7 + q) -12 + 6q = (7 * 5 + q * 5) -12 + 6q = (35 + 5q) Solving -12 + 6q = 35 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. -12 + 6q + -5q = 35 + 5q + -5q Combine like terms: 6q + -5q = 1q -12 + 1q = 35 + 5q + -5q Combine like terms: 5q + -5q = 0 -12 + 1q = 35 + 0 -12 + 1q = 35 Add '12' to each side of the equation. -12 + 12 + 1q = 35 + 12 Combine like terms: -12 + 12 = 0 0 + 1q = 35 + 12 1q = 35 + 12 Combine like terms: 35 + 12 = 47 1q = 47 Divide each side by '1'. q = 47 Simplifying q = 47
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