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Simplifying 3b + 8(3b + -1) = 100 Reorder the terms: 3b + 8(-1 + 3b) = 100 3b + (-1 * 8 + 3b * 8) = 100 3b + (-8 + 24b) = 100 Reorder the terms: -8 + 3b + 24b = 100 Combine like terms: 3b + 24b = 27b -8 + 27b = 100 Solving -8 + 27b = 100 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 27b = 100 + 8 Combine like terms: -8 + 8 = 0 0 + 27b = 100 + 8 27b = 100 + 8 Combine like terms: 100 + 8 = 108 27b = 108 Divide each side by '27'. b = 4 Simplifying b = 4
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