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Simplifying 4b + -8 = -5(1 + -1b) Reorder the terms: -8 + 4b = -5(1 + -1b) -8 + 4b = (1 * -5 + -1b * -5) -8 + 4b = (-5 + 5b) Solving -8 + 4b = -5 + 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. -8 + 4b + -5b = -5 + 5b + -5b Combine like terms: 4b + -5b = -1b -8 + -1b = -5 + 5b + -5b Combine like terms: 5b + -5b = 0 -8 + -1b = -5 + 0 -8 + -1b = -5 Add '8' to each side of the equation. -8 + 8 + -1b = -5 + 8 Combine like terms: -8 + 8 = 0 0 + -1b = -5 + 8 -1b = -5 + 8 Combine like terms: -5 + 8 = 3 -1b = 3 Divide each side by '-1'. b = -3 Simplifying b = -3
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