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Simplifying -1(-3 + -1q) = -0.5(6q + -26) (-3 * -1 + -1q * -1) = -0.5(6q + -26) (3 + 1q) = -0.5(6q + -26) Reorder the terms: 3 + 1q = -0.5(-26 + 6q) 3 + 1q = (-26 * -0.5 + 6q * -0.5) 3 + 1q = (13 + -3q) Solving 3 + 1q = 13 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. 3 + 1q + 3q = 13 + -3q + 3q Combine like terms: 1q + 3q = 4q 3 + 4q = 13 + -3q + 3q Combine like terms: -3q + 3q = 0 3 + 4q = 13 + 0 3 + 4q = 13 Add '-3' to each side of the equation. 3 + -3 + 4q = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 4q = 13 + -3 4q = 13 + -3 Combine like terms: 13 + -3 = 10 4q = 10 Divide each side by '4'. q = 2.5 Simplifying q = 2.5
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