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Simplifying -4(3q + -2.6) = -5(11.92 + 3.1q) Reorder the terms: -4(-2.6 + 3q) = -5(11.92 + 3.1q) (-2.6 * -4 + 3q * -4) = -5(11.92 + 3.1q) (10.4 + -12q) = -5(11.92 + 3.1q) 10.4 + -12q = (11.92 * -5 + 3.1q * -5) 10.4 + -12q = (-59.6 + -15.5q) Solving 10.4 + -12q = -59.6 + -15.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '15.5q' to each side of the equation. 10.4 + -12q + 15.5q = -59.6 + -15.5q + 15.5q Combine like terms: -12q + 15.5q = 3.5q 10.4 + 3.5q = -59.6 + -15.5q + 15.5q Combine like terms: -15.5q + 15.5q = 0.0 10.4 + 3.5q = -59.6 + 0.0 10.4 + 3.5q = -59.6 Add '-10.4' to each side of the equation. 10.4 + -10.4 + 3.5q = -59.6 + -10.4 Combine like terms: 10.4 + -10.4 = 0.0 0.0 + 3.5q = -59.6 + -10.4 3.5q = -59.6 + -10.4 Combine like terms: -59.6 + -10.4 = -70 3.5q = -70 Divide each side by '3.5'. q = -20 Simplifying q = -20
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