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Simplifying -8(-3b + -4) = 3 + -5b Reorder the terms: -8(-4 + -3b) = 3 + -5b (-4 * -8 + -3b * -8) = 3 + -5b (32 + 24b) = 3 + -5b Solving 32 + 24b = 3 + -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. 32 + 24b + 5b = 3 + -5b + 5b Combine like terms: 24b + 5b = 29b 32 + 29b = 3 + -5b + 5b Combine like terms: -5b + 5b = 0 32 + 29b = 3 + 0 32 + 29b = 3 Add '-32' to each side of the equation. 32 + -32 + 29b = 3 + -32 Combine like terms: 32 + -32 = 0 0 + 29b = 3 + -32 29b = 3 + -32 Combine like terms: 3 + -32 = -29 29b = -29 Divide each side by '29'. b = -1 Simplifying b = -1
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