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Simplifying 9 + 14 = 8(q + 7) Combine like terms: 9 + 14 = 23 23 = 8(q + 7) Reorder the terms: 23 = 8(7 + q) 23 = (7 * 8 + q * 8) 23 = (56 + 8q) Solving 23 = 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. 23 + -8q = 56 + 8q + -8q Combine like terms: 8q + -8q = 0 23 + -8q = 56 + 0 23 + -8q = 56 Add '-23' to each side of the equation. 23 + -23 + -8q = 56 + -23 Combine like terms: 23 + -23 = 0 0 + -8q = 56 + -23 -8q = 56 + -23 Combine like terms: 56 + -23 = 33 -8q = 33 Divide each side by '-8'. q = -4.125 Simplifying q = -4.125
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