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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) Combine like terms: b + 6b = 7b 24 + -5b = -8(-6 + 7b) 24 + -5b = (-6 * -8 + 7b * -8) 24 + -5b = (48 + -56b) Solving 24 + -5b = 48 + -56b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '56b' to each side of the equation. 24 + -5b + 56b = 48 + -56b + 56b Combine like terms: -5b + 56b = 51b 24 + 51b = 48 + -56b + 56b Combine like terms: -56b + 56b = 0 24 + 51b = 48 + 0 24 + 51b = 48 Add '-24' to each side of the equation. 24 + -24 + 51b = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 51b = 48 + -24 51b = 48 + -24 Combine like terms: 48 + -24 = 24 51b = 24 Divide each side by '51'. b = 0.4705882353 Simplifying b = 0.4705882353
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