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Simplifying -15 + 5q = 15q + -50 + -5q Reorder the terms: -15 + 5q = -50 + 15q + -5q Combine like terms: 15q + -5q = 10q -15 + 5q = -50 + 10q Solving -15 + 5q = -50 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. -15 + 5q + -10q = -50 + 10q + -10q Combine like terms: 5q + -10q = -5q -15 + -5q = -50 + 10q + -10q Combine like terms: 10q + -10q = 0 -15 + -5q = -50 + 0 -15 + -5q = -50 Add '15' to each side of the equation. -15 + 15 + -5q = -50 + 15 Combine like terms: -15 + 15 = 0 0 + -5q = -50 + 15 -5q = -50 + 15 Combine like terms: -50 + 15 = -35 -5q = -35 Divide each side by '-5'. q = 7 Simplifying q = 7
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