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Simplifying q + 16 = 8(q + 7) Reorder the terms: 16 + q = 8(q + 7) Reorder the terms: 16 + q = 8(7 + q) 16 + q = (7 * 8 + q * 8) 16 + q = (56 + 8q) Solving 16 + q = 56 + 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. 16 + q + -8q = 56 + 8q + -8q Combine like terms: q + -8q = -7q 16 + -7q = 56 + 8q + -8q Combine like terms: 8q + -8q = 0 16 + -7q = 56 + 0 16 + -7q = 56 Add '-16' to each side of the equation. 16 + -16 + -7q = 56 + -16 Combine like terms: 16 + -16 = 0 0 + -7q = 56 + -16 -7q = 56 + -16 Combine like terms: 56 + -16 = 40 -7q = 40 Divide each side by '-7'. q = -5.714285714 Simplifying q = -5.714285714
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