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Simplifying -2(-20q + -15) = -20 + 5(11q + -20) Reorder the terms: -2(-15 + -20q) = -20 + 5(11q + -20) (-15 * -2 + -20q * -2) = -20 + 5(11q + -20) (30 + 40q) = -20 + 5(11q + -20) Reorder the terms: 30 + 40q = -20 + 5(-20 + 11q) 30 + 40q = -20 + (-20 * 5 + 11q * 5) 30 + 40q = -20 + (-100 + 55q) Combine like terms: -20 + -100 = -120 30 + 40q = -120 + 55q Solving 30 + 40q = -120 + 55q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-55q' to each side of the equation. 30 + 40q + -55q = -120 + 55q + -55q Combine like terms: 40q + -55q = -15q 30 + -15q = -120 + 55q + -55q Combine like terms: 55q + -55q = 0 30 + -15q = -120 + 0 30 + -15q = -120 Add '-30' to each side of the equation. 30 + -30 + -15q = -120 + -30 Combine like terms: 30 + -30 = 0 0 + -15q = -120 + -30 -15q = -120 + -30 Combine like terms: -120 + -30 = -150 -15q = -150 Divide each side by '-15'. q = 10 Simplifying q = 10
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