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Simplifying 7[-47 + 7q] + -9 = 9[63q + -50] + -82 [-47 * 7 + 7q * 7] + -9 = 9[63q + -50] + -82 [-329 + 49q] + -9 = 9[63q + -50] + -82 Reorder the terms: -329 + -9 + 49q = 9[63q + -50] + -82 Combine like terms: -329 + -9 = -338 -338 + 49q = 9[63q + -50] + -82 Reorder the terms: -338 + 49q = 9[-50 + 63q] + -82 -338 + 49q = [-50 * 9 + 63q * 9] + -82 -338 + 49q = [-450 + 567q] + -82 Reorder the terms: -338 + 49q = -450 + -82 + 567q Combine like terms: -450 + -82 = -532 -338 + 49q = -532 + 567q Solving -338 + 49q = -532 + 567q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-567q' to each side of the equation. -338 + 49q + -567q = -532 + 567q + -567q Combine like terms: 49q + -567q = -518q -338 + -518q = -532 + 567q + -567q Combine like terms: 567q + -567q = 0 -338 + -518q = -532 + 0 -338 + -518q = -532 Add '338' to each side of the equation. -338 + 338 + -518q = -532 + 338 Combine like terms: -338 + 338 = 0 0 + -518q = -532 + 338 -518q = -532 + 338 Combine like terms: -532 + 338 = -194 -518q = -194 Divide each side by '-518'. q = 0.3745173745 Simplifying q = 0.3745173745
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