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Simplifying -15 = 5(3 + -1q + -10) + -5q Reorder the terms: -15 = 5(3 + -10 + -1q) + -5q Combine like terms: 3 + -10 = -7 -15 = 5(-7 + -1q) + -5q -15 = (-7 * 5 + -1q * 5) + -5q -15 = (-35 + -5q) + -5q Combine like terms: -5q + -5q = -10q -15 = -35 + -10q Solving -15 = -35 + -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 = -35 + -10q + 10q Combine like terms: -10q + 10q = 0 -15 + 10q = -35 + 0 -15 + 10q = -35 Add '15' to each side of the equation. -15 + 15 + 10q = -35 + 15 Combine like terms: -15 + 15 = 0 0 + 10q = -35 + 15 10q = -35 + 15 Combine like terms: -35 + 15 = -20 10q = -20 Divide each side by '10'. q = -2 Simplifying q = -2
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