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Simplifying 4(12b + -6) + 10b = -2(8b + 12) + 9b Reorder the terms: 4(-6 + 12b) + 10b = -2(8b + 12) + 9b (-6 * 4 + 12b * 4) + 10b = -2(8b + 12) + 9b (-24 + 48b) + 10b = -2(8b + 12) + 9b Combine like terms: 48b + 10b = 58b -24 + 58b = -2(8b + 12) + 9b Reorder the terms: -24 + 58b = -2(12 + 8b) + 9b -24 + 58b = (12 * -2 + 8b * -2) + 9b -24 + 58b = (-24 + -16b) + 9b Combine like terms: -16b + 9b = -7b -24 + 58b = -24 + -7b Add '24' to each side of the equation. -24 + 24 + 58b = -24 + 24 + -7b Combine like terms: -24 + 24 = 0 0 + 58b = -24 + 24 + -7b 58b = -24 + 24 + -7b Combine like terms: -24 + 24 = 0 58b = 0 + -7b 58b = -7b Solving 58b = -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 58b + 7b = -7b + 7b Combine like terms: 58b + 7b = 65b 65b = -7b + 7b Combine like terms: -7b + 7b = 0 65b = 0 Divide each side by '65'. b = 0 Simplifying b = 0
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