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Simplifying -5(6b + -8) + 8 = 21 + -3b Reorder the terms: -5(-8 + 6b) + 8 = 21 + -3b (-8 * -5 + 6b * -5) + 8 = 21 + -3b (40 + -30b) + 8 = 21 + -3b Reorder the terms: 40 + 8 + -30b = 21 + -3b Combine like terms: 40 + 8 = 48 48 + -30b = 21 + -3b Solving 48 + -30b = 21 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 48 + -30b + 3b = 21 + -3b + 3b Combine like terms: -30b + 3b = -27b 48 + -27b = 21 + -3b + 3b Combine like terms: -3b + 3b = 0 48 + -27b = 21 + 0 48 + -27b = 21 Add '-48' to each side of the equation. 48 + -48 + -27b = 21 + -48 Combine like terms: 48 + -48 = 0 0 + -27b = 21 + -48 -27b = 21 + -48 Combine like terms: 21 + -48 = -27 -27b = -27 Divide each side by '-27'. b = 1 Simplifying b = 1
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