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Simplifying 9 + -5(b + -1) = -4(b + -2) Reorder the terms: 9 + -5(-1 + b) = -4(b + -2) 9 + (-1 * -5 + b * -5) = -4(b + -2) 9 + (5 + -5b) = -4(b + -2) Combine like terms: 9 + 5 = 14 14 + -5b = -4(b + -2) Reorder the terms: 14 + -5b = -4(-2 + b) 14 + -5b = (-2 * -4 + b * -4) 14 + -5b = (8 + -4b) Solving 14 + -5b = 8 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 14 + -5b + 4b = 8 + -4b + 4b Combine like terms: -5b + 4b = -1b 14 + -1b = 8 + -4b + 4b Combine like terms: -4b + 4b = 0 14 + -1b = 8 + 0 14 + -1b = 8 Add '-14' to each side of the equation. 14 + -14 + -1b = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -1b = 8 + -14 -1b = 8 + -14 Combine like terms: 8 + -14 = -6 -1b = -6 Divide each side by '-1'. b = 6 Simplifying b = 6
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