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Simplifying -7b + 5(b + -3) = 3(5 + 7b) Reorder the terms: -7b + 5(-3 + b) = 3(5 + 7b) -7b + (-3 * 5 + b * 5) = 3(5 + 7b) -7b + (-15 + 5b) = 3(5 + 7b) Reorder the terms: -15 + -7b + 5b = 3(5 + 7b) Combine like terms: -7b + 5b = -2b -15 + -2b = 3(5 + 7b) -15 + -2b = (5 * 3 + 7b * 3) -15 + -2b = (15 + 21b) Solving -15 + -2b = 15 + 21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-21b' to each side of the equation. -15 + -2b + -21b = 15 + 21b + -21b Combine like terms: -2b + -21b = -23b -15 + -23b = 15 + 21b + -21b Combine like terms: 21b + -21b = 0 -15 + -23b = 15 + 0 -15 + -23b = 15 Add '15' to each side of the equation. -15 + 15 + -23b = 15 + 15 Combine like terms: -15 + 15 = 0 0 + -23b = 15 + 15 -23b = 15 + 15 Combine like terms: 15 + 15 = 30 -23b = 30 Divide each side by '-23'. b = -1.304347826 Simplifying b = -1.304347826
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