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Simplifying 10(b + 8) = 11(b + -4) Reorder the terms: 10(8 + b) = 11(b + -4) (8 * 10 + b * 10) = 11(b + -4) (80 + 10b) = 11(b + -4) Reorder the terms: 80 + 10b = 11(-4 + b) 80 + 10b = (-4 * 11 + b * 11) 80 + 10b = (-44 + 11b) Solving 80 + 10b = -44 + 11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11b' to each side of the equation. 80 + 10b + -11b = -44 + 11b + -11b Combine like terms: 10b + -11b = -1b 80 + -1b = -44 + 11b + -11b Combine like terms: 11b + -11b = 0 80 + -1b = -44 + 0 80 + -1b = -44 Add '-80' to each side of the equation. 80 + -80 + -1b = -44 + -80 Combine like terms: 80 + -80 = 0 0 + -1b = -44 + -80 -1b = -44 + -80 Combine like terms: -44 + -80 = -124 -1b = -124 Divide each side by '-1'. b = 124 Simplifying b = 124
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