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Simplifying 5 = 7 + -2(5q + 1) Reorder the terms: 5 = 7 + -2(1 + 5q) 5 = 7 + (1 * -2 + 5q * -2) 5 = 7 + (-2 + -10q) Combine like terms: 7 + -2 = 5 5 = 5 + -10q Add '-5' to each side of the equation. 5 + -5 = 5 + -5 + -10q Combine like terms: 5 + -5 = 0 0 = 5 + -5 + -10q Combine like terms: 5 + -5 = 0 0 = 0 + -10q 0 = -10q Solving 0 = -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. 0 + 10q = -10q + 10q Remove the zero: 10q = -10q + 10q Combine like terms: -10q + 10q = 0 10q = 0 Divide each side by '10'. q = 0 Simplifying q = 0
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