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Simplifying 3(5b + 1) + 14 + -4(5 + -3b) = 0 Reorder the terms: 3(1 + 5b) + 14 + -4(5 + -3b) = 0 (1 * 3 + 5b * 3) + 14 + -4(5 + -3b) = 0 (3 + 15b) + 14 + -4(5 + -3b) = 0 3 + 15b + 14 + (5 * -4 + -3b * -4) = 0 3 + 15b + 14 + (-20 + 12b) = 0 Reorder the terms: 3 + 14 + -20 + 15b + 12b = 0 Combine like terms: 3 + 14 = 17 17 + -20 + 15b + 12b = 0 Combine like terms: 17 + -20 = -3 -3 + 15b + 12b = 0 Combine like terms: 15b + 12b = 27b -3 + 27b = 0 Solving -3 + 27b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 27b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 27b = 0 + 3 27b = 0 + 3 Combine like terms: 0 + 3 = 3 27b = 3 Divide each side by '27'. b = 0.1111111111 Simplifying b = 0.1111111111
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