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Simplifying 41 = -2(21 + -1b) + 3(b + -4) 41 = (21 * -2 + -1b * -2) + 3(b + -4) 41 = (-42 + 2b) + 3(b + -4) Reorder the terms: 41 = -42 + 2b + 3(-4 + b) 41 = -42 + 2b + (-4 * 3 + b * 3) 41 = -42 + 2b + (-12 + 3b) Reorder the terms: 41 = -42 + -12 + 2b + 3b Combine like terms: -42 + -12 = -54 41 = -54 + 2b + 3b Combine like terms: 2b + 3b = 5b 41 = -54 + 5b Solving 41 = -54 + 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. 41 + -5b = -54 + 5b + -5b Combine like terms: 5b + -5b = 0 41 + -5b = -54 + 0 41 + -5b = -54 Add '-41' to each side of the equation. 41 + -41 + -5b = -54 + -41 Combine like terms: 41 + -41 = 0 0 + -5b = -54 + -41 -5b = -54 + -41 Combine like terms: -54 + -41 = -95 -5b = -95 Divide each side by '-5'. b = 19 Simplifying b = 19
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