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Simplifying 5 = 8(q + -8) Reorder the terms: 5 = 8(-8 + q) 5 = (-8 * 8 + q * 8) 5 = (-64 + 8q) Solving 5 = -64 + 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. 5 + -8q = -64 + 8q + -8q Combine like terms: 8q + -8q = 0 5 + -8q = -64 + 0 5 + -8q = -64 Add '-5' to each side of the equation. 5 + -5 + -8q = -64 + -5 Combine like terms: 5 + -5 = 0 0 + -8q = -64 + -5 -8q = -64 + -5 Combine like terms: -64 + -5 = -69 -8q = -69 Divide each side by '-8'. q = 8.625 Simplifying q = 8.625
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