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Simplifying 3[2q + 5] = 6[7 + 4q] Reorder the terms: 3[5 + 2q] = 6[7 + 4q] [5 * 3 + 2q * 3] = 6[7 + 4q] [15 + 6q] = 6[7 + 4q] 15 + 6q = [7 * 6 + 4q * 6] 15 + 6q = [42 + 24q] Solving 15 + 6q = 42 + 24q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-24q' to each side of the equation. 15 + 6q + -24q = 42 + 24q + -24q Combine like terms: 6q + -24q = -18q 15 + -18q = 42 + 24q + -24q Combine like terms: 24q + -24q = 0 15 + -18q = 42 + 0 15 + -18q = 42 Add '-15' to each side of the equation. 15 + -15 + -18q = 42 + -15 Combine like terms: 15 + -15 = 0 0 + -18q = 42 + -15 -18q = 42 + -15 Combine like terms: 42 + -15 = 27 -18q = 27 Divide each side by '-18'. q = -1.5 Simplifying q = -1.5
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