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Simplifying -3 + 7(3q + 15) = 15q Reorder the terms: -3 + 7(15 + 3q) = 15q -3 + (15 * 7 + 3q * 7) = 15q -3 + (105 + 21q) = 15q Combine like terms: -3 + 105 = 102 102 + 21q = 15q Solving 102 + 21q = 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. 102 + 21q + -15q = 15q + -15q Combine like terms: 21q + -15q = 6q 102 + 6q = 15q + -15q Combine like terms: 15q + -15q = 0 102 + 6q = 0 Add '-102' to each side of the equation. 102 + -102 + 6q = 0 + -102 Combine like terms: 102 + -102 = 0 0 + 6q = 0 + -102 6q = 0 + -102 Combine like terms: 0 + -102 = -102 6q = -102 Divide each side by '6'. q = -17 Simplifying q = -17
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