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Simplifying -2(q + -5) + 6 = 7(q + -1) + -2(q + -6) Reorder the terms: -2(-5 + q) + 6 = 7(q + -1) + -2(q + -6) (-5 * -2 + q * -2) + 6 = 7(q + -1) + -2(q + -6) (10 + -2q) + 6 = 7(q + -1) + -2(q + -6) Reorder the terms: 10 + 6 + -2q = 7(q + -1) + -2(q + -6) Combine like terms: 10 + 6 = 16 16 + -2q = 7(q + -1) + -2(q + -6) Reorder the terms: 16 + -2q = 7(-1 + q) + -2(q + -6) 16 + -2q = (-1 * 7 + q * 7) + -2(q + -6) 16 + -2q = (-7 + 7q) + -2(q + -6) Reorder the terms: 16 + -2q = -7 + 7q + -2(-6 + q) 16 + -2q = -7 + 7q + (-6 * -2 + q * -2) 16 + -2q = -7 + 7q + (12 + -2q) Reorder the terms: 16 + -2q = -7 + 12 + 7q + -2q Combine like terms: -7 + 12 = 5 16 + -2q = 5 + 7q + -2q Combine like terms: 7q + -2q = 5q 16 + -2q = 5 + 5q Solving 16 + -2q = 5 + 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. 16 + -2q + -5q = 5 + 5q + -5q Combine like terms: -2q + -5q = -7q 16 + -7q = 5 + 5q + -5q Combine like terms: 5q + -5q = 0 16 + -7q = 5 + 0 16 + -7q = 5 Add '-16' to each side of the equation. 16 + -16 + -7q = 5 + -16 Combine like terms: 16 + -16 = 0 0 + -7q = 5 + -16 -7q = 5 + -16 Combine like terms: 5 + -16 = -11 -7q = -11 Divide each side by '-7'. q = 1.571428571 Simplifying q = 1.571428571
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