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Simplifying b + 12 = 3(b + -4) + 2b Reorder the terms: 12 + b = 3(b + -4) + 2b Reorder the terms: 12 + b = 3(-4 + b) + 2b 12 + b = (-4 * 3 + b * 3) + 2b 12 + b = (-12 + 3b) + 2b Combine like terms: 3b + 2b = 5b 12 + b = -12 + 5b Solving 12 + b = -12 + 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 + b + -5b = -12 + 5b + -5b Combine like terms: b + -5b = -4b 12 + -4b = -12 + 5b + -5b Combine like terms: 5b + -5b = 0 12 + -4b = -12 + 0 12 + -4b = -12 Add '-12' to each side of the equation. 12 + -12 + -4b = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -4b = -12 + -12 -4b = -12 + -12 Combine like terms: -12 + -12 = -24 -4b = -24 Divide each side by '-4'. b = 6 Simplifying b = 6
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