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Simplifying 25q + 18 = 100 + -13q + 70 Reorder the terms: 18 + 25q = 100 + -13q + 70 Reorder the terms: 18 + 25q = 100 + 70 + -13q Combine like terms: 100 + 70 = 170 18 + 25q = 170 + -13q Solving 18 + 25q = 170 + -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. 18 + 25q + 13q = 170 + -13q + 13q Combine like terms: 25q + 13q = 38q 18 + 38q = 170 + -13q + 13q Combine like terms: -13q + 13q = 0 18 + 38q = 170 + 0 18 + 38q = 170 Add '-18' to each side of the equation. 18 + -18 + 38q = 170 + -18 Combine like terms: 18 + -18 = 0 0 + 38q = 170 + -18 38q = 170 + -18 Combine like terms: 170 + -18 = 152 38q = 152 Divide each side by '38'. q = 4 Simplifying q = 4
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