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Simplifying 3(b + 6) + -1(b + -4) + b = 0 Reorder the terms: 3(6 + b) + -1(b + -4) + b = 0 (6 * 3 + b * 3) + -1(b + -4) + b = 0 (18 + 3b) + -1(b + -4) + b = 0 Reorder the terms: 18 + 3b + -1(-4 + b) + b = 0 18 + 3b + (-4 * -1 + b * -1) + b = 0 18 + 3b + (4 + -1b) + b = 0 Reorder the terms: 18 + 4 + 3b + -1b + b = 0 Combine like terms: 18 + 4 = 22 22 + 3b + -1b + b = 0 Combine like terms: 3b + -1b = 2b 22 + 2b + b = 0 Combine like terms: 2b + b = 3b 22 + 3b = 0 Solving 22 + 3b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 3b = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 3b = 0 + -22 3b = 0 + -22 Combine like terms: 0 + -22 = -22 3b = -22 Divide each side by '3'. b = -7.333333333 Simplifying b = -7.333333333
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