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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 = 7b 24 + 7b = 48 + -2b + 2b Combine like terms: -2b + 2b = 0 24 + 7b = 48 + 0 24 + 7b = 48 Add '-24' to each side of the equation. 24 + -24 + 7b = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 7b = 48 + -24 7b = 48 + -24 Combine like terms: 48 + -24 = 24 7b = 24 Divide each side by '7'. b = 3.428571429 Simplifying b = 3.428571429
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