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Simplifying -1(-1 + -1q) = 0.5(6q + -26) (-1 * -1 + -1q * -1) = 0.5(6q + -26) (1 + 1q) = 0.5(6q + -26) Reorder the terms: 1 + 1q = 0.5(-26 + 6q) 1 + 1q = (-26 * 0.5 + 6q * 0.5) 1 + 1q = (-13 + 3q) Solving 1 + 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. 1 + 1q + -3q = -13 + 3q + -3q Combine like terms: 1q + -3q = -2q 1 + -2q = -13 + 3q + -3q Combine like terms: 3q + -3q = 0 1 + -2q = -13 + 0 1 + -2q = -13 Add '-1' to each side of the equation. 1 + -1 + -2q = -13 + -1 Combine like terms: 1 + -1 = 0 0 + -2q = -13 + -1 -2q = -13 + -1 Combine like terms: -13 + -1 = -14 -2q = -14 Divide each side by '-2'. q = 7 Simplifying q = 7
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