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Simplifying 8(5q + 1) + -16 = 8(3q + 9) Reorder the terms: 8(1 + 5q) + -16 = 8(3q + 9) (1 * 8 + 5q * 8) + -16 = 8(3q + 9) (8 + 40q) + -16 = 8(3q + 9) Reorder the terms: 8 + -16 + 40q = 8(3q + 9) Combine like terms: 8 + -16 = -8 -8 + 40q = 8(3q + 9) Reorder the terms: -8 + 40q = 8(9 + 3q) -8 + 40q = (9 * 8 + 3q * 8) -8 + 40q = (72 + 24q) Solving -8 + 40q = 72 + 24q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-24q' to each side of the equation. -8 + 40q + -24q = 72 + 24q + -24q Combine like terms: 40q + -24q = 16q -8 + 16q = 72 + 24q + -24q Combine like terms: 24q + -24q = 0 -8 + 16q = 72 + 0 -8 + 16q = 72 Add '8' to each side of the equation. -8 + 8 + 16q = 72 + 8 Combine like terms: -8 + 8 = 0 0 + 16q = 72 + 8 16q = 72 + 8 Combine like terms: 72 + 8 = 80 16q = 80 Divide each side by '16'. q = 5 Simplifying q = 5
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