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Simplifying 3(b + 4) + 2(b + -2) = 0 Reorder the terms: 3(4 + b) + 2(b + -2) = 0 (4 * 3 + b * 3) + 2(b + -2) = 0 (12 + 3b) + 2(b + -2) = 0 Reorder the terms: 12 + 3b + 2(-2 + b) = 0 12 + 3b + (-2 * 2 + b * 2) = 0 12 + 3b + (-4 + 2b) = 0 Reorder the terms: 12 + -4 + 3b + 2b = 0 Combine like terms: 12 + -4 = 8 8 + 3b + 2b = 0 Combine like terms: 3b + 2b = 5b 8 + 5b = 0 Solving 8 + 5b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5b = 0 + -8 5b = 0 + -8 Combine like terms: 0 + -8 = -8 5b = -8 Divide each side by '5'. b = -1.6 Simplifying b = -1.6
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