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Simplifying -2(q + -29) = 1.2(4 + -8q) Reorder the terms: -2(-29 + q) = 1.2(4 + -8q) (-29 * -2 + q * -2) = 1.2(4 + -8q) (58 + -2q) = 1.2(4 + -8q) 58 + -2q = (4 * 1.2 + -8q * 1.2) 58 + -2q = (4.8 + -9.6q) Solving 58 + -2q = 4.8 + -9.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '9.6q' to each side of the equation. 58 + -2q + 9.6q = 4.8 + -9.6q + 9.6q Combine like terms: -2q + 9.6q = 7.6q 58 + 7.6q = 4.8 + -9.6q + 9.6q Combine like terms: -9.6q + 9.6q = 0.0 58 + 7.6q = 4.8 + 0.0 58 + 7.6q = 4.8 Add '-58' to each side of the equation. 58 + -58 + 7.6q = 4.8 + -58 Combine like terms: 58 + -58 = 0 0 + 7.6q = 4.8 + -58 7.6q = 4.8 + -58 Combine like terms: 4.8 + -58 = -53.2 7.6q = -53.2 Divide each side by '7.6'. q = -7 Simplifying q = -7
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