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Simplifying 72 = 8(q + 4) Reorder the terms: 72 = 8(4 + q) 72 = (4 * 8 + q * 8) 72 = (32 + 8q) Solving 72 = 32 + 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. 72 + -8q = 32 + 8q + -8q Combine like terms: 8q + -8q = 0 72 + -8q = 32 + 0 72 + -8q = 32 Add '-72' to each side of the equation. 72 + -72 + -8q = 32 + -72 Combine like terms: 72 + -72 = 0 0 + -8q = 32 + -72 -8q = 32 + -72 Combine like terms: 32 + -72 = -40 -8q = -40 Divide each side by '-8'. q = 5 Simplifying q = 5
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