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Simplifying 2q + -3(q + -5) = 5(q + 2) + -7 Reorder the terms: 2q + -3(-5 + q) = 5(q + 2) + -7 2q + (-5 * -3 + q * -3) = 5(q + 2) + -7 2q + (15 + -3q) = 5(q + 2) + -7 Reorder the terms: 15 + 2q + -3q = 5(q + 2) + -7 Combine like terms: 2q + -3q = -1q 15 + -1q = 5(q + 2) + -7 Reorder the terms: 15 + -1q = 5(2 + q) + -7 15 + -1q = (2 * 5 + q * 5) + -7 15 + -1q = (10 + 5q) + -7 Reorder the terms: 15 + -1q = 10 + -7 + 5q Combine like terms: 10 + -7 = 3 15 + -1q = 3 + 5q Solving 15 + -1q = 3 + 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. 15 + -1q + -5q = 3 + 5q + -5q Combine like terms: -1q + -5q = -6q 15 + -6q = 3 + 5q + -5q Combine like terms: 5q + -5q = 0 15 + -6q = 3 + 0 15 + -6q = 3 Add '-15' to each side of the equation. 15 + -15 + -6q = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -6q = 3 + -15 -6q = 3 + -15 Combine like terms: 3 + -15 = -12 -6q = -12 Divide each side by '-6'. q = 2 Simplifying q = 2
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