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Simplifying -5 + 24 = -8(b + -6) + 6b Combine like terms: -5 + 24 = 19 19 = -8(b + -6) + 6b Reorder the terms: 19 = -8(-6 + b) + 6b 19 = (-6 * -8 + b * -8) + 6b 19 = (48 + -8b) + 6b Combine like terms: -8b + 6b = -2b 19 = 48 + -2b Solving 19 = 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. 19 + 2b = 48 + -2b + 2b Combine like terms: -2b + 2b = 0 19 + 2b = 48 + 0 19 + 2b = 48 Add '-19' to each side of the equation. 19 + -19 + 2b = 48 + -19 Combine like terms: 19 + -19 = 0 0 + 2b = 48 + -19 2b = 48 + -19 Combine like terms: 48 + -19 = 29 2b = 29 Divide each side by '2'. b = 14.5 Simplifying b = 14.5
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