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Simplifying 1(3b + 4) + -1(b + -5) = 0 Reorder the terms: 1(4 + 3b) + -1(b + -5) = 0 (4 * 1 + 3b * 1) + -1(b + -5) = 0 (4 + 3b) + -1(b + -5) = 0 Reorder the terms: 4 + 3b + -1(-5 + b) = 0 4 + 3b + (-5 * -1 + b * -1) = 0 4 + 3b + (5 + -1b) = 0 Reorder the terms: 4 + 5 + 3b + -1b = 0 Combine like terms: 4 + 5 = 9 9 + 3b + -1b = 0 Combine like terms: 3b + -1b = 2b 9 + 2b = 0 Solving 9 + 2b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2b = 0 + -9 2b = 0 + -9 Combine like terms: 0 + -9 = -9 2b = -9 Divide each side by '2'. b = -4.5 Simplifying b = -4.5
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