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Simplifying 2(b + 1) = 3b + -2 Reorder the terms: 2(1 + b) = 3b + -2 (1 * 2 + b * 2) = 3b + -2 (2 + 2b) = 3b + -2 Reorder the terms: 2 + 2b = -2 + 3b Solving 2 + 2b = -2 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 2 + 2b + -3b = -2 + 3b + -3b Combine like terms: 2b + -3b = -1b 2 + -1b = -2 + 3b + -3b Combine like terms: 3b + -3b = 0 2 + -1b = -2 + 0 2 + -1b = -2 Add '-2' to each side of the equation. 2 + -2 + -1b = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = -2 + -2 -1b = -2 + -2 Combine like terms: -2 + -2 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4
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