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Simplifying 7 = -1(2q + 13) Reorder the terms: 7 = -1(13 + 2q) 7 = (13 * -1 + 2q * -1) 7 = (-13 + -2q) Solving 7 = -13 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. 7 + 2q = -13 + -2q + 2q Combine like terms: -2q + 2q = 0 7 + 2q = -13 + 0 7 + 2q = -13 Add '-7' to each side of the equation. 7 + -7 + 2q = -13 + -7 Combine like terms: 7 + -7 = 0 0 + 2q = -13 + -7 2q = -13 + -7 Combine like terms: -13 + -7 = -20 2q = -20 Divide each side by '2'. q = -10 Simplifying q = -10
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