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Simplifying 5 = 6(q + -5) + -1q Reorder the terms: 5 = 6(-5 + q) + -1q 5 = (-5 * 6 + q * 6) + -1q 5 = (-30 + 6q) + -1q Combine like terms: 6q + -1q = 5q 5 = -30 + 5q Solving 5 = -30 + 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. 5 + -5q = -30 + 5q + -5q Combine like terms: 5q + -5q = 0 5 + -5q = -30 + 0 5 + -5q = -30 Add '-5' to each side of the equation. 5 + -5 + -5q = -30 + -5 Combine like terms: 5 + -5 = 0 0 + -5q = -30 + -5 -5q = -30 + -5 Combine like terms: -30 + -5 = -35 -5q = -35 Divide each side by '-5'. q = 7 Simplifying q = 7
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