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Simplifying -7(2q + -1) = -13q Reorder the terms: -7(-1 + 2q) = -13q (-1 * -7 + 2q * -7) = -13q (7 + -14q) = -13q Solving 7 + -14q = -13q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '13q' to each side of the equation. 7 + -14q + 13q = -13q + 13q Combine like terms: -14q + 13q = -1q 7 + -1q = -13q + 13q Combine like terms: -13q + 13q = 0 7 + -1q = 0 Add '-7' to each side of the equation. 7 + -7 + -1q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1q = 0 + -7 -1q = 0 + -7 Combine like terms: 0 + -7 = -7 -1q = -7 Divide each side by '-1'. q = 7 Simplifying q = 7
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