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Simplifying 2(3b + 4) + -1(b + -5) = 0 Reorder the terms: 2(4 + 3b) + -1(b + -5) = 0 (4 * 2 + 3b * 2) + -1(b + -5) = 0 (8 + 6b) + -1(b + -5) = 0 Reorder the terms: 8 + 6b + -1(-5 + b) = 0 8 + 6b + (-5 * -1 + b * -1) = 0 8 + 6b + (5 + -1b) = 0 Reorder the terms: 8 + 5 + 6b + -1b = 0 Combine like terms: 8 + 5 = 13 13 + 6b + -1b = 0 Combine like terms: 6b + -1b = 5b 13 + 5b = 0 Solving 13 + 5b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 5b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5b = 0 + -13 5b = 0 + -13 Combine like terms: 0 + -13 = -13 5b = -13 Divide each side by '5'. b = -2.6 Simplifying b = -2.6
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