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Simplifying q + 5 = 8(q + 7) Reorder the terms: 5 + q = 8(q + 7) Reorder the terms: 5 + q = 8(7 + q) 5 + q = (7 * 8 + q * 8) 5 + q = (56 + 8q) Solving 5 + 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. 5 + q + -8q = 56 + 8q + -8q Combine like terms: q + -8q = -7q 5 + -7q = 56 + 8q + -8q Combine like terms: 8q + -8q = 0 5 + -7q = 56 + 0 5 + -7q = 56 Add '-5' to each side of the equation. 5 + -5 + -7q = 56 + -5 Combine like terms: 5 + -5 = 0 0 + -7q = 56 + -5 -7q = 56 + -5 Combine like terms: 56 + -5 = 51 -7q = 51 Divide each side by '-7'. q = -7.285714286 Simplifying q = -7.285714286
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