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Simplifying 34 = -2(22 + -1b) + 3(b + -4) 34 = (22 * -2 + -1b * -2) + 3(b + -4) 34 = (-44 + 2b) + 3(b + -4) Reorder the terms: 34 = -44 + 2b + 3(-4 + b) 34 = -44 + 2b + (-4 * 3 + b * 3) 34 = -44 + 2b + (-12 + 3b) Reorder the terms: 34 = -44 + -12 + 2b + 3b Combine like terms: -44 + -12 = -56 34 = -56 + 2b + 3b Combine like terms: 2b + 3b = 5b 34 = -56 + 5b Solving 34 = -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. 34 + -5b = -56 + 5b + -5b Combine like terms: 5b + -5b = 0 34 + -5b = -56 + 0 34 + -5b = -56 Add '-34' to each side of the equation. 34 + -34 + -5b = -56 + -34 Combine like terms: 34 + -34 = 0 0 + -5b = -56 + -34 -5b = -56 + -34 Combine like terms: -56 + -34 = -90 -5b = -90 Divide each side by '-5'. b = 18 Simplifying b = 18
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