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Simplifying -5b + 24 = -8[b + -6] + 6b Reorder the terms: 24 + -5b = -8[b + -6] + 6b Reorder the terms: 24 + -5b = -8[-6 + b] + 6b 24 + -5b = [-6 * -8 + b * -8] + 6b 24 + -5b = [48 + -8b] + 6b Combine like terms: -8b + 6b = -2b 24 + -5b = 48 + -2b Solving 24 + -5b = 48 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 24 + -5b + 2b = 48 + -2b + 2b Combine like terms: -5b + 2b = -3b 24 + -3b = 48 + -2b + 2b Combine like terms: -2b + 2b = 0 24 + -3b = 48 + 0 24 + -3b = 48 Add '-24' to each side of the equation. 24 + -24 + -3b = 48 + -24 Combine like terms: 24 + -24 = 0 0 + -3b = 48 + -24 -3b = 48 + -24 Combine like terms: 48 + -24 = 24 -3b = 24 Divide each side by '-3'. b = -8 Simplifying b = -8
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