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Simplifying -3(q + -4) + 15 = -5(q + -7) + -19 Reorder the terms: -3(-4 + q) + 15 = -5(q + -7) + -19 (-4 * -3 + q * -3) + 15 = -5(q + -7) + -19 (12 + -3q) + 15 = -5(q + -7) + -19 Reorder the terms: 12 + 15 + -3q = -5(q + -7) + -19 Combine like terms: 12 + 15 = 27 27 + -3q = -5(q + -7) + -19 Reorder the terms: 27 + -3q = -5(-7 + q) + -19 27 + -3q = (-7 * -5 + q * -5) + -19 27 + -3q = (35 + -5q) + -19 Reorder the terms: 27 + -3q = 35 + -19 + -5q Combine like terms: 35 + -19 = 16 27 + -3q = 16 + -5q Solving 27 + -3q = 16 + -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. 27 + -3q + 5q = 16 + -5q + 5q Combine like terms: -3q + 5q = 2q 27 + 2q = 16 + -5q + 5q Combine like terms: -5q + 5q = 0 27 + 2q = 16 + 0 27 + 2q = 16 Add '-27' to each side of the equation. 27 + -27 + 2q = 16 + -27 Combine like terms: 27 + -27 = 0 0 + 2q = 16 + -27 2q = 16 + -27 Combine like terms: 16 + -27 = -11 2q = -11 Divide each side by '2'. q = -5.5 Simplifying q = -5.5
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