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Simplifying -3(4 + -1q) + 2q = 2(q + -9) (4 * -3 + -1q * -3) + 2q = 2(q + -9) (-12 + 3q) + 2q = 2(q + -9) Combine like terms: 3q + 2q = 5q -12 + 5q = 2(q + -9) Reorder the terms: -12 + 5q = 2(-9 + q) -12 + 5q = (-9 * 2 + q * 2) -12 + 5q = (-18 + 2q) Solving -12 + 5q = -18 + 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 + 5q + -2q = -18 + 2q + -2q Combine like terms: 5q + -2q = 3q -12 + 3q = -18 + 2q + -2q Combine like terms: 2q + -2q = 0 -12 + 3q = -18 + 0 -12 + 3q = -18 Add '12' to each side of the equation. -12 + 12 + 3q = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 3q = -18 + 12 3q = -18 + 12 Combine like terms: -18 + 12 = -6 3q = -6 Divide each side by '3'. q = -2 Simplifying q = -2
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