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Simplifying 7 = 1(q + 13) Reorder the terms: 7 = 1(13 + q) 7 = (13 * 1 + q * 1) 7 = (13 + 1q) Solving 7 = 13 + 1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 7 + -1q = 13 + 1q + -1q Combine like terms: 1q + -1q = 0 7 + -1q = 13 + 0 7 + -1q = 13 Add '-7' to each side of the equation. 7 + -7 + -1q = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -1q = 13 + -7 -1q = 13 + -7 Combine like terms: 13 + -7 = 6 -1q = 6 Divide each side by '-1'. q = -6 Simplifying q = -6
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