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Simplifying 4(3q + 6) + -12(q + -3) = q + -3(q + 6) Reorder the terms: 4(6 + 3q) + -12(q + -3) = q + -3(q + 6) (6 * 4 + 3q * 4) + -12(q + -3) = q + -3(q + 6) (24 + 12q) + -12(q + -3) = q + -3(q + 6) Reorder the terms: 24 + 12q + -12(-3 + q) = q + -3(q + 6) 24 + 12q + (-3 * -12 + q * -12) = q + -3(q + 6) 24 + 12q + (36 + -12q) = q + -3(q + 6) Reorder the terms: 24 + 36 + 12q + -12q = q + -3(q + 6) Combine like terms: 24 + 36 = 60 60 + 12q + -12q = q + -3(q + 6) Combine like terms: 12q + -12q = 0 60 + 0 = q + -3(q + 6) 60 = q + -3(q + 6) Reorder the terms: 60 = q + -3(6 + q) 60 = q + (6 * -3 + q * -3) 60 = q + (-18 + -3q) Reorder the terms: 60 = -18 + q + -3q Combine like terms: q + -3q = -2q 60 = -18 + -2q Solving 60 = -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. 60 + 2q = -18 + -2q + 2q Combine like terms: -2q + 2q = 0 60 + 2q = -18 + 0 60 + 2q = -18 Add '-60' to each side of the equation. 60 + -60 + 2q = -18 + -60 Combine like terms: 60 + -60 = 0 0 + 2q = -18 + -60 2q = -18 + -60 Combine like terms: -18 + -60 = -78 2q = -78 Divide each side by '2'. q = -39 Simplifying q = -39
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