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Simplifying -4 = -1(q + -8) + -7 Reorder the terms: -4 = -1(-8 + q) + -7 -4 = (-8 * -1 + q * -1) + -7 -4 = (8 + -1q) + -7 Reorder the terms: -4 = 8 + -7 + -1q Combine like terms: 8 + -7 = 1 -4 = 1 + -1q Solving -4 = 1 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. -4 + q = 1 + -1q + q Combine like terms: -1q + q = 0 -4 + q = 1 + 0 -4 + q = 1 Add '4' to each side of the equation. -4 + 4 + q = 1 + 4 Combine like terms: -4 + 4 = 0 0 + q = 1 + 4 q = 1 + 4 Combine like terms: 1 + 4 = 5 q = 5 Simplifying q = 5
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