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Simplifying -24 = 5(1 + 5b) + -1(b + 5) -24 = (1 * 5 + 5b * 5) + -1(b + 5) -24 = (5 + 25b) + -1(b + 5) Reorder the terms: -24 = 5 + 25b + -1(5 + b) -24 = 5 + 25b + (5 * -1 + b * -1) -24 = 5 + 25b + (-5 + -1b) Reorder the terms: -24 = 5 + -5 + 25b + -1b Combine like terms: 5 + -5 = 0 -24 = 0 + 25b + -1b -24 = 25b + -1b Combine like terms: 25b + -1b = 24b -24 = 24b Solving -24 = 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. -24 + -24b = 24b + -24b Combine like terms: 24b + -24b = 0 -24 + -24b = 0 Add '24' to each side of the equation. -24 + 24 + -24b = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -24b = 0 + 24 -24b = 0 + 24 Combine like terms: 0 + 24 = 24 -24b = 24 Divide each side by '-24'. b = -1 Simplifying b = -1
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