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Simplifying -5 = 5(3q + -10) + -5q Reorder the terms: -5 = 5(-10 + 3q) + -5q -5 = (-10 * 5 + 3q * 5) + -5q -5 = (-50 + 15q) + -5q Combine like terms: 15q + -5q = 10q -5 = -50 + 10q Solving -5 = -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. -5 + -10q = -50 + 10q + -10q Combine like terms: 10q + -10q = 0 -5 + -10q = -50 + 0 -5 + -10q = -50 Add '5' to each side of the equation. -5 + 5 + -10q = -50 + 5 Combine like terms: -5 + 5 = 0 0 + -10q = -50 + 5 -10q = -50 + 5 Combine like terms: -50 + 5 = -45 -10q = -45 Divide each side by '-10'. q = 4.5 Simplifying q = 4.5
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