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Simplifying 39 = -2(22 + -1b) + 3(b + -4) 39 = (22 * -2 + -1b * -2) + 3(b + -4) 39 = (-44 + 2b) + 3(b + -4) Reorder the terms: 39 = -44 + 2b + 3(-4 + b) 39 = -44 + 2b + (-4 * 3 + b * 3) 39 = -44 + 2b + (-12 + 3b) Reorder the terms: 39 = -44 + -12 + 2b + 3b Combine like terms: -44 + -12 = -56 39 = -56 + 2b + 3b Combine like terms: 2b + 3b = 5b 39 = -56 + 5b Solving 39 = -56 + 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. 39 + -5b = -56 + 5b + -5b Combine like terms: 5b + -5b = 0 39 + -5b = -56 + 0 39 + -5b = -56 Add '-39' to each side of the equation. 39 + -39 + -5b = -56 + -39 Combine like terms: 39 + -39 = 0 0 + -5b = -56 + -39 -5b = -56 + -39 Combine like terms: -56 + -39 = -95 -5b = -95 Divide each side by '-5'. b = 19 Simplifying b = 19
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