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Simplifying -15 = 5(3q + -10) + -5q Reorder the terms: -15 = 5(-10 + 3q) + -5q -15 = (-10 * 5 + 3q * 5) + -5q -15 = (-50 + 15q) + -5q Combine like terms: 15q + -5q = 10q -15 = -50 + 10q Solving -15 = -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 + -10q = -50 + 10q + -10q Combine like terms: 10q + -10q = 0 -15 + -10q = -50 + 0 -15 + -10q = -50 Add '15' to each side of the equation. -15 + 15 + -10q = -50 + 15 Combine like terms: -15 + 15 = 0 0 + -10q = -50 + 15 -10q = -50 + 15 Combine like terms: -50 + 15 = -35 -10q = -35 Divide each side by '-10'. q = 3.5 Simplifying q = 3.5
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