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Simplifying 2b + -7(b + -8) = -8b + 32 Reorder the terms: 2b + -7(-8 + b) = -8b + 32 2b + (-8 * -7 + b * -7) = -8b + 32 2b + (56 + -7b) = -8b + 32 Reorder the terms: 56 + 2b + -7b = -8b + 32 Combine like terms: 2b + -7b = -5b 56 + -5b = -8b + 32 Reorder the terms: 56 + -5b = 32 + -8b Solving 56 + -5b = 32 + -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. 56 + -5b + 8b = 32 + -8b + 8b Combine like terms: -5b + 8b = 3b 56 + 3b = 32 + -8b + 8b Combine like terms: -8b + 8b = 0 56 + 3b = 32 + 0 56 + 3b = 32 Add '-56' to each side of the equation. 56 + -56 + 3b = 32 + -56 Combine like terms: 56 + -56 = 0 0 + 3b = 32 + -56 3b = 32 + -56 Combine like terms: 32 + -56 = -24 3b = -24 Divide each side by '3'. b = -8 Simplifying b = -8
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