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Simplifying 12 + -9q = 5(-3q + 18) Reorder the terms: 12 + -9q = 5(18 + -3q) 12 + -9q = (18 * 5 + -3q * 5) 12 + -9q = (90 + -15q) Solving 12 + -9q = 90 + -15q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '15q' to each side of the equation. 12 + -9q + 15q = 90 + -15q + 15q Combine like terms: -9q + 15q = 6q 12 + 6q = 90 + -15q + 15q Combine like terms: -15q + 15q = 0 12 + 6q = 90 + 0 12 + 6q = 90 Add '-12' to each side of the equation. 12 + -12 + 6q = 90 + -12 Combine like terms: 12 + -12 = 0 0 + 6q = 90 + -12 6q = 90 + -12 Combine like terms: 90 + -12 = 78 6q = 78 Divide each side by '6'. q = 13 Simplifying q = 13
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