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Simplifying 3(-8q + 5) = 4(q + 1) Reorder the terms: 3(5 + -8q) = 4(q + 1) (5 * 3 + -8q * 3) = 4(q + 1) (15 + -24q) = 4(q + 1) Reorder the terms: 15 + -24q = 4(1 + q) 15 + -24q = (1 * 4 + q * 4) 15 + -24q = (4 + 4q) Solving 15 + -24q = 4 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 15 + -24q + -4q = 4 + 4q + -4q Combine like terms: -24q + -4q = -28q 15 + -28q = 4 + 4q + -4q Combine like terms: 4q + -4q = 0 15 + -28q = 4 + 0 15 + -28q = 4 Add '-15' to each side of the equation. 15 + -15 + -28q = 4 + -15 Combine like terms: 15 + -15 = 0 0 + -28q = 4 + -15 -28q = 4 + -15 Combine like terms: 4 + -15 = -11 -28q = -11 Divide each side by '-28'. q = 0.3928571429 Simplifying q = 0.3928571429
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