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Simplifying b + 2(b + 5) = 5(b + -1) + 1 Reorder the terms: b + 2(5 + b) = 5(b + -1) + 1 b + (5 * 2 + b * 2) = 5(b + -1) + 1 b + (10 + 2b) = 5(b + -1) + 1 Reorder the terms: 10 + b + 2b = 5(b + -1) + 1 Combine like terms: b + 2b = 3b 10 + 3b = 5(b + -1) + 1 Reorder the terms: 10 + 3b = 5(-1 + b) + 1 10 + 3b = (-1 * 5 + b * 5) + 1 10 + 3b = (-5 + 5b) + 1 Reorder the terms: 10 + 3b = -5 + 1 + 5b Combine like terms: -5 + 1 = -4 10 + 3b = -4 + 5b Solving 10 + 3b = -4 + 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. 10 + 3b + -5b = -4 + 5b + -5b Combine like terms: 3b + -5b = -2b 10 + -2b = -4 + 5b + -5b Combine like terms: 5b + -5b = 0 10 + -2b = -4 + 0 10 + -2b = -4 Add '-10' to each side of the equation. 10 + -10 + -2b = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -2b = -4 + -10 -2b = -4 + -10 Combine like terms: -4 + -10 = -14 -2b = -14 Divide each side by '-2'. b = 7 Simplifying b = 7
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