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Simplifying 12q + 376 = 13q + 280 Reorder the terms: 376 + 12q = 13q + 280 Reorder the terms: 376 + 12q = 280 + 13q Solving 376 + 12q = 280 + 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. 376 + 12q + -13q = 280 + 13q + -13q Combine like terms: 12q + -13q = -1q 376 + -1q = 280 + 13q + -13q Combine like terms: 13q + -13q = 0 376 + -1q = 280 + 0 376 + -1q = 280 Add '-376' to each side of the equation. 376 + -376 + -1q = 280 + -376 Combine like terms: 376 + -376 = 0 0 + -1q = 280 + -376 -1q = 280 + -376 Combine like terms: 280 + -376 = -96 -1q = -96 Divide each side by '-1'. q = 96 Simplifying q = 96
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