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Simplifying 8(8 + 3b) = -3b + 37 (8 * 8 + 3b * 8) = -3b + 37 (64 + 24b) = -3b + 37 Reorder the terms: 64 + 24b = 37 + -3b Solving 64 + 24b = 37 + -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. 64 + 24b + 3b = 37 + -3b + 3b Combine like terms: 24b + 3b = 27b 64 + 27b = 37 + -3b + 3b Combine like terms: -3b + 3b = 0 64 + 27b = 37 + 0 64 + 27b = 37 Add '-64' to each side of the equation. 64 + -64 + 27b = 37 + -64 Combine like terms: 64 + -64 = 0 0 + 27b = 37 + -64 27b = 37 + -64 Combine like terms: 37 + -64 = -27 27b = -27 Divide each side by '27'. b = -1 Simplifying b = -1
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