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Simplifying 3(b + 5) + -5(b + -1) = 0 Reorder the terms: 3(5 + b) + -5(b + -1) = 0 (5 * 3 + b * 3) + -5(b + -1) = 0 (15 + 3b) + -5(b + -1) = 0 Reorder the terms: 15 + 3b + -5(-1 + b) = 0 15 + 3b + (-1 * -5 + b * -5) = 0 15 + 3b + (5 + -5b) = 0 Reorder the terms: 15 + 5 + 3b + -5b = 0 Combine like terms: 15 + 5 = 20 20 + 3b + -5b = 0 Combine like terms: 3b + -5b = -2b 20 + -2b = 0 Solving 20 + -2b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -2b = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -2b = 0 + -20 -2b = 0 + -20 Combine like terms: 0 + -20 = -20 -2b = -20 Divide each side by '-2'. b = 10 Simplifying b = 10
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