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Simplifying 4(10 + b) = -8(b + 1) (10 * 4 + b * 4) = -8(b + 1) (40 + 4b) = -8(b + 1) Reorder the terms: 40 + 4b = -8(1 + b) 40 + 4b = (1 * -8 + b * -8) 40 + 4b = (-8 + -8b) Solving 40 + 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. 40 + 4b + 8b = -8 + -8b + 8b Combine like terms: 4b + 8b = 12b 40 + 12b = -8 + -8b + 8b Combine like terms: -8b + 8b = 0 40 + 12b = -8 + 0 40 + 12b = -8 Add '-40' to each side of the equation. 40 + -40 + 12b = -8 + -40 Combine like terms: 40 + -40 = 0 0 + 12b = -8 + -40 12b = -8 + -40 Combine like terms: -8 + -40 = -48 12b = -48 Divide each side by '12'. b = -4 Simplifying b = -4
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