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Simplifying 4q + 5(1 + -1q) = 8q + 6(1 + -1q) 4q + (1 * 5 + -1q * 5) = 8q + 6(1 + -1q) 4q + (5 + -5q) = 8q + 6(1 + -1q) Reorder the terms: 5 + 4q + -5q = 8q + 6(1 + -1q) Combine like terms: 4q + -5q = -1q 5 + -1q = 8q + 6(1 + -1q) 5 + -1q = 8q + (1 * 6 + -1q * 6) 5 + -1q = 8q + (6 + -6q) Reorder the terms: 5 + -1q = 6 + 8q + -6q Combine like terms: 8q + -6q = 2q 5 + -1q = 6 + 2q Solving 5 + -1q = 6 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 5 + -1q + -2q = 6 + 2q + -2q Combine like terms: -1q + -2q = -3q 5 + -3q = 6 + 2q + -2q Combine like terms: 2q + -2q = 0 5 + -3q = 6 + 0 5 + -3q = 6 Add '-5' to each side of the equation. 5 + -5 + -3q = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -3q = 6 + -5 -3q = 6 + -5 Combine like terms: 6 + -5 = 1 -3q = 1 Divide each side by '-3'. q = -0.3333333333 Simplifying q = -0.3333333333
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