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Simplifying -4(q + -4) + 15 = -5(q + -7) + -10 Reorder the terms: -4(-4 + q) + 15 = -5(q + -7) + -10 (-4 * -4 + q * -4) + 15 = -5(q + -7) + -10 (16 + -4q) + 15 = -5(q + -7) + -10 Reorder the terms: 16 + 15 + -4q = -5(q + -7) + -10 Combine like terms: 16 + 15 = 31 31 + -4q = -5(q + -7) + -10 Reorder the terms: 31 + -4q = -5(-7 + q) + -10 31 + -4q = (-7 * -5 + q * -5) + -10 31 + -4q = (35 + -5q) + -10 Reorder the terms: 31 + -4q = 35 + -10 + -5q Combine like terms: 35 + -10 = 25 31 + -4q = 25 + -5q Solving 31 + -4q = 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. 31 + -4q + 5q = 25 + -5q + 5q Combine like terms: -4q + 5q = 1q 31 + 1q = 25 + -5q + 5q Combine like terms: -5q + 5q = 0 31 + 1q = 25 + 0 31 + 1q = 25 Add '-31' to each side of the equation. 31 + -31 + 1q = 25 + -31 Combine like terms: 31 + -31 = 0 0 + 1q = 25 + -31 1q = 25 + -31 Combine like terms: 25 + -31 = -6 1q = -6 Divide each side by '1'. q = -6 Simplifying q = -6
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