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Simplifying 3(b + 4) + -2 = 2(b + -1) Reorder the terms: 3(4 + b) + -2 = 2(b + -1) (4 * 3 + b * 3) + -2 = 2(b + -1) (12 + 3b) + -2 = 2(b + -1) Reorder the terms: 12 + -2 + 3b = 2(b + -1) Combine like terms: 12 + -2 = 10 10 + 3b = 2(b + -1) Reorder the terms: 10 + 3b = 2(-1 + b) 10 + 3b = (-1 * 2 + b * 2) 10 + 3b = (-2 + 2b) Solving 10 + 3b = -2 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 10 + 3b + -2b = -2 + 2b + -2b Combine like terms: 3b + -2b = 1b 10 + 1b = -2 + 2b + -2b Combine like terms: 2b + -2b = 0 10 + 1b = -2 + 0 10 + 1b = -2 Add '-10' to each side of the equation. 10 + -10 + 1b = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 1b = -2 + -10 1b = -2 + -10 Combine like terms: -2 + -10 = -12 1b = -12 Divide each side by '1'. b = -12 Simplifying b = -12
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