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Simplifying q + 7 = 5(2q + 25) Reorder the terms: 7 + q = 5(2q + 25) Reorder the terms: 7 + q = 5(25 + 2q) 7 + q = (25 * 5 + 2q * 5) 7 + q = (125 + 10q) Solving 7 + q = 125 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. 7 + q + -10q = 125 + 10q + -10q Combine like terms: q + -10q = -9q 7 + -9q = 125 + 10q + -10q Combine like terms: 10q + -10q = 0 7 + -9q = 125 + 0 7 + -9q = 125 Add '-7' to each side of the equation. 7 + -7 + -9q = 125 + -7 Combine like terms: 7 + -7 = 0 0 + -9q = 125 + -7 -9q = 125 + -7 Combine like terms: 125 + -7 = 118 -9q = 118 Divide each side by '-9'. q = -13.11111111 Simplifying q = -13.11111111
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