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Simplifying 50 = -2(21 + -1b) + (b + -4) 50 = (21 * -2 + -1b * -2) + (b + -4) 50 = (-42 + 2b) + (b + -4) Reorder the terms: 50 = -42 + 2b + (-4 + b) Remove parenthesis around (-4 + b) 50 = -42 + 2b + -4 + b Reorder the terms: 50 = -42 + -4 + 2b + b Combine like terms: -42 + -4 = -46 50 = -46 + 2b + b Combine like terms: 2b + b = 3b 50 = -46 + 3b Solving 50 = -46 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 50 + -3b = -46 + 3b + -3b Combine like terms: 3b + -3b = 0 50 + -3b = -46 + 0 50 + -3b = -46 Add '-50' to each side of the equation. 50 + -50 + -3b = -46 + -50 Combine like terms: 50 + -50 = 0 0 + -3b = -46 + -50 -3b = -46 + -50 Combine like terms: -46 + -50 = -96 -3b = -96 Divide each side by '-3'. b = 32 Simplifying b = 32
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