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Simplifying -3(q + 4) + 15 = -5(q + -7) + -10 Reorder the terms: -3(4 + q) + 15 = -5(q + -7) + -10 (4 * -3 + q * -3) + 15 = -5(q + -7) + -10 (-12 + -3q) + 15 = -5(q + -7) + -10 Reorder the terms: -12 + 15 + -3q = -5(q + -7) + -10 Combine like terms: -12 + 15 = 3 3 + -3q = -5(q + -7) + -10 Reorder the terms: 3 + -3q = -5(-7 + q) + -10 3 + -3q = (-7 * -5 + q * -5) + -10 3 + -3q = (35 + -5q) + -10 Reorder the terms: 3 + -3q = 35 + -10 + -5q Combine like terms: 35 + -10 = 25 3 + -3q = 25 + -5q Solving 3 + -3q = 25 + -5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5q' to each side of the equation. 3 + -3q + 5q = 25 + -5q + 5q Combine like terms: -3q + 5q = 2q 3 + 2q = 25 + -5q + 5q Combine like terms: -5q + 5q = 0 3 + 2q = 25 + 0 3 + 2q = 25 Add '-3' to each side of the equation. 3 + -3 + 2q = 25 + -3 Combine like terms: 3 + -3 = 0 0 + 2q = 25 + -3 2q = 25 + -3 Combine like terms: 25 + -3 = 22 2q = 22 Divide each side by '2'. q = 11 Simplifying q = 11
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