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Simplifying 5(b + 1) + b = 5(b + -2) + -1 Reorder the terms: 5(1 + b) + b = 5(b + -2) + -1 (1 * 5 + b * 5) + b = 5(b + -2) + -1 (5 + 5b) + b = 5(b + -2) + -1 Combine like terms: 5b + b = 6b 5 + 6b = 5(b + -2) + -1 Reorder the terms: 5 + 6b = 5(-2 + b) + -1 5 + 6b = (-2 * 5 + b * 5) + -1 5 + 6b = (-10 + 5b) + -1 Reorder the terms: 5 + 6b = -10 + -1 + 5b Combine like terms: -10 + -1 = -11 5 + 6b = -11 + 5b Solving 5 + 6b = -11 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 5 + 6b + -5b = -11 + 5b + -5b Combine like terms: 6b + -5b = 1b 5 + 1b = -11 + 5b + -5b Combine like terms: 5b + -5b = 0 5 + 1b = -11 + 0 5 + 1b = -11 Add '-5' to each side of the equation. 5 + -5 + 1b = -11 + -5 Combine like terms: 5 + -5 = 0 0 + 1b = -11 + -5 1b = -11 + -5 Combine like terms: -11 + -5 = -16 1b = -16 Divide each side by '1'. b = -16 Simplifying b = -16
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