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Simplifying 4b = 2(b + 1) + 3(b + -1) Reorder the terms: 4b = 2(1 + b) + 3(b + -1) 4b = (1 * 2 + b * 2) + 3(b + -1) 4b = (2 + 2b) + 3(b + -1) Reorder the terms: 4b = 2 + 2b + 3(-1 + b) 4b = 2 + 2b + (-1 * 3 + b * 3) 4b = 2 + 2b + (-3 + 3b) Reorder the terms: 4b = 2 + -3 + 2b + 3b Combine like terms: 2 + -3 = -1 4b = -1 + 2b + 3b Combine like terms: 2b + 3b = 5b 4b = -1 + 5b Solving 4b = -1 + 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. 4b + -5b = -1 + 5b + -5b Combine like terms: 4b + -5b = -1b -1b = -1 + 5b + -5b Combine like terms: 5b + -5b = 0 -1b = -1 + 0 -1b = -1 Divide each side by '-1'. b = 1 Simplifying b = 1
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