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Simplifying -4(b + 5) = -8(1 + -1b) Reorder the terms: -4(5 + b) = -8(1 + -1b) (5 * -4 + b * -4) = -8(1 + -1b) (-20 + -4b) = -8(1 + -1b) -20 + -4b = (1 * -8 + -1b * -8) -20 + -4b = (-8 + 8b) Solving -20 + -4b = -8 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -20 + -4b + -8b = -8 + 8b + -8b Combine like terms: -4b + -8b = -12b -20 + -12b = -8 + 8b + -8b Combine like terms: 8b + -8b = 0 -20 + -12b = -8 + 0 -20 + -12b = -8 Add '20' to each side of the equation. -20 + 20 + -12b = -8 + 20 Combine like terms: -20 + 20 = 0 0 + -12b = -8 + 20 -12b = -8 + 20 Combine like terms: -8 + 20 = 12 -12b = 12 Divide each side by '-12'. b = -1 Simplifying b = -1
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