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Simplifying -5b + 24 = -8(b + -6) + 66 Reorder the terms: 24 + -5b = -8(b + -6) + 66 Reorder the terms: 24 + -5b = -8(-6 + b) + 66 24 + -5b = (-6 * -8 + b * -8) + 66 24 + -5b = (48 + -8b) + 66 Reorder the terms: 24 + -5b = 48 + 66 + -8b Combine like terms: 48 + 66 = 114 24 + -5b = 114 + -8b Solving 24 + -5b = 114 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 24 + -5b + 8b = 114 + -8b + 8b Combine like terms: -5b + 8b = 3b 24 + 3b = 114 + -8b + 8b Combine like terms: -8b + 8b = 0 24 + 3b = 114 + 0 24 + 3b = 114 Add '-24' to each side of the equation. 24 + -24 + 3b = 114 + -24 Combine like terms: 24 + -24 = 0 0 + 3b = 114 + -24 3b = 114 + -24 Combine like terms: 114 + -24 = 90 3b = 90 Divide each side by '3'. b = 30 Simplifying b = 30
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