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Simplifying 4(5 + 2q) = -4 + 5q (5 * 4 + 2q * 4) = -4 + 5q (20 + 8q) = -4 + 5q Solving 20 + 8q = -4 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 20 + 8q + -5q = -4 + 5q + -5q Combine like terms: 8q + -5q = 3q 20 + 3q = -4 + 5q + -5q Combine like terms: 5q + -5q = 0 20 + 3q = -4 + 0 20 + 3q = -4 Add '-20' to each side of the equation. 20 + -20 + 3q = -4 + -20 Combine like terms: 20 + -20 = 0 0 + 3q = -4 + -20 3q = -4 + -20 Combine like terms: -4 + -20 = -24 3q = -24 Divide each side by '3'. q = -8 Simplifying q = -8
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