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Simplifying -1(-5q + 1) + 9 = -6 + 7q Reorder the terms: -1(1 + -5q) + 9 = -6 + 7q (1 * -1 + -5q * -1) + 9 = -6 + 7q (-1 + 5q) + 9 = -6 + 7q Reorder the terms: -1 + 9 + 5q = -6 + 7q Combine like terms: -1 + 9 = 8 8 + 5q = -6 + 7q Solving 8 + 5q = -6 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. 8 + 5q + -7q = -6 + 7q + -7q Combine like terms: 5q + -7q = -2q 8 + -2q = -6 + 7q + -7q Combine like terms: 7q + -7q = 0 8 + -2q = -6 + 0 8 + -2q = -6 Add '-8' to each side of the equation. 8 + -8 + -2q = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2q = -6 + -8 -2q = -6 + -8 Combine like terms: -6 + -8 = -14 -2q = -14 Divide each side by '-2'. q = 7 Simplifying q = 7
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