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Simplifying 12 + 4q + 1 = 5(q + 5) Reorder the terms: 12 + 1 + 4q = 5(q + 5) Combine like terms: 12 + 1 = 13 13 + 4q = 5(q + 5) Reorder the terms: 13 + 4q = 5(5 + q) 13 + 4q = (5 * 5 + q * 5) 13 + 4q = (25 + 5q) Solving 13 + 4q = 25 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 13 + 4q + -5q = 25 + 5q + -5q Combine like terms: 4q + -5q = -1q 13 + -1q = 25 + 5q + -5q Combine like terms: 5q + -5q = 0 13 + -1q = 25 + 0 13 + -1q = 25 Add '-13' to each side of the equation. 13 + -13 + -1q = 25 + -13 Combine like terms: 13 + -13 = 0 0 + -1q = 25 + -13 -1q = 25 + -13 Combine like terms: 25 + -13 = 12 -1q = 12 Divide each side by '-1'. q = -12 Simplifying q = -12
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