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Simplifying q + 14 = 8(q + 7) Reorder the terms: 14 + q = 8(q + 7) Reorder the terms: 14 + q = 8(7 + q) 14 + q = (7 * 8 + q * 8) 14 + q = (56 + 8q) Solving 14 + 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. 14 + q + -8q = 56 + 8q + -8q Combine like terms: q + -8q = -7q 14 + -7q = 56 + 8q + -8q Combine like terms: 8q + -8q = 0 14 + -7q = 56 + 0 14 + -7q = 56 Add '-14' to each side of the equation. 14 + -14 + -7q = 56 + -14 Combine like terms: 14 + -14 = 0 0 + -7q = 56 + -14 -7q = 56 + -14 Combine like terms: 56 + -14 = 42 -7q = 42 Divide each side by '-7'. q = -6 Simplifying q = -6
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