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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 = 19 -28q = 19 Divide each side by '-28'. q = -0.6785714286 Simplifying q = -0.6785714286
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