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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 = 14b 24 + -5b = 48 + 14b Solving 24 + -5b = 48 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. 24 + -5b + -14b = 48 + 14b + -14b Combine like terms: -5b + -14b = -19b 24 + -19b = 48 + 14b + -14b Combine like terms: 14b + -14b = 0 24 + -19b = 48 + 0 24 + -19b = 48 Add '-24' to each side of the equation. 24 + -24 + -19b = 48 + -24 Combine like terms: 24 + -24 = 0 0 + -19b = 48 + -24 -19b = 48 + -24 Combine like terms: 48 + -24 = 24 -19b = 24 Divide each side by '-19'. b = -1.263157895 Simplifying b = -1.263157895
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