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Simplifying 96 = 8(q + 1) Reorder the terms: 96 = 8(1 + q) 96 = (1 * 8 + q * 8) 96 = (8 + 8q) Solving 96 = 8 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 96 + -8q = 8 + 8q + -8q Combine like terms: 8q + -8q = 0 96 + -8q = 8 + 0 96 + -8q = 8 Add '-96' to each side of the equation. 96 + -96 + -8q = 8 + -96 Combine like terms: 96 + -96 = 0 0 + -8q = 8 + -96 -8q = 8 + -96 Combine like terms: 8 + -96 = -88 -8q = -88 Divide each side by '-8'. q = 11 Simplifying q = 11
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