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Simplifying -1.5x + -1(2 + -2q) = 0.5 -1.5x + (2 * -1 + -2q * -1) = 0.5 -1.5x + (-2 + 2q) = 0.5 Reorder the terms: -2 + 2q + -1.5x = 0.5 Solving -2 + 2q + -1.5x = 0.5 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2q + 2 + -1.5x = 0.5 + 2 Reorder the terms: -2 + 2 + 2q + -1.5x = 0.5 + 2 Combine like terms: -2 + 2 = 0 0 + 2q + -1.5x = 0.5 + 2 2q + -1.5x = 0.5 + 2 Combine like terms: 0.5 + 2 = 2.5 2q + -1.5x = 2.5 Add '1.5x' to each side of the equation. 2q + -1.5x + 1.5x = 2.5 + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 2q + 0.0 = 2.5 + 1.5x 2q = 2.5 + 1.5x Divide each side by '2'. q = 1.25 + 0.75x Simplifying q = 1.25 + 0.75x
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