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