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Simplifying 47 = -5(b + -1) + -8(b + -2) Reorder the terms: 47 = -5(-1 + b) + -8(b + -2) 47 = (-1 * -5 + b * -5) + -8(b + -2) 47 = (5 + -5b) + -8(b + -2) Reorder the terms: 47 = 5 + -5b + -8(-2 + b) 47 = 5 + -5b + (-2 * -8 + b * -8) 47 = 5 + -5b + (16 + -8b) Reorder the terms: 47 = 5 + 16 + -5b + -8b Combine like terms: 5 + 16 = 21 47 = 21 + -5b + -8b Combine like terms: -5b + -8b = -13b 47 = 21 + -13b Solving 47 = 21 + -13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13b' to each side of the equation. 47 + 13b = 21 + -13b + 13b Combine like terms: -13b + 13b = 0 47 + 13b = 21 + 0 47 + 13b = 21 Add '-47' to each side of the equation. 47 + -47 + 13b = 21 + -47 Combine like terms: 47 + -47 = 0 0 + 13b = 21 + -47 13b = 21 + -47 Combine like terms: 21 + -47 = -26 13b = -26 Divide each side by '13'. b = -2 Simplifying b = -2
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