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Simplifying -1.75(q + -5) = 3(q + 2.5) Reorder the terms: -1.75(-5 + q) = 3(q + 2.5) (-5 * -1.75 + q * -1.75) = 3(q + 2.5) (8.75 + -1.75q) = 3(q + 2.5) Reorder the terms: 8.75 + -1.75q = 3(2.5 + q) 8.75 + -1.75q = (2.5 * 3 + q * 3) 8.75 + -1.75q = (7.5 + 3q) Solving 8.75 + -1.75q = 7.5 + 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. 8.75 + -1.75q + -3q = 7.5 + 3q + -3q Combine like terms: -1.75q + -3q = -4.75q 8.75 + -4.75q = 7.5 + 3q + -3q Combine like terms: 3q + -3q = 0 8.75 + -4.75q = 7.5 + 0 8.75 + -4.75q = 7.5 Add '-8.75' to each side of the equation. 8.75 + -8.75 + -4.75q = 7.5 + -8.75 Combine like terms: 8.75 + -8.75 = 0.00 0.00 + -4.75q = 7.5 + -8.75 -4.75q = 7.5 + -8.75 Combine like terms: 7.5 + -8.75 = -1.25 -4.75q = -1.25 Divide each side by '-4.75'. q = 0.2631578947 Simplifying q = 0.2631578947
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