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Simplifying 3(b + 4) = 5b + -2 Reorder the terms: 3(4 + b) = 5b + -2 (4 * 3 + b * 3) = 5b + -2 (12 + 3b) = 5b + -2 Reorder the terms: 12 + 3b = -2 + 5b Solving 12 + 3b = -2 + 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. 12 + 3b + -5b = -2 + 5b + -5b Combine like terms: 3b + -5b = -2b 12 + -2b = -2 + 5b + -5b Combine like terms: 5b + -5b = 0 12 + -2b = -2 + 0 12 + -2b = -2 Add '-12' to each side of the equation. 12 + -12 + -2b = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -2b = -2 + -12 -2b = -2 + -12 Combine like terms: -2 + -12 = -14 -2b = -14 Divide each side by '-2'. b = 7 Simplifying b = 7
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