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Simplifying 40 + -8b = -8(5b + 3) Reorder the terms: 40 + -8b = -8(3 + 5b) 40 + -8b = (3 * -8 + 5b * -8) 40 + -8b = (-24 + -40b) Solving 40 + -8b = -24 + -40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40b' to each side of the equation. 40 + -8b + 40b = -24 + -40b + 40b Combine like terms: -8b + 40b = 32b 40 + 32b = -24 + -40b + 40b Combine like terms: -40b + 40b = 0 40 + 32b = -24 + 0 40 + 32b = -24 Add '-40' to each side of the equation. 40 + -40 + 32b = -24 + -40 Combine like terms: 40 + -40 = 0 0 + 32b = -24 + -40 32b = -24 + -40 Combine like terms: -24 + -40 = -64 32b = -64 Divide each side by '32'. b = -2 Simplifying b = -2
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