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Simplifying 2(3b + -4) = 8b + -15 + -9b Reorder the terms: 2(-4 + 3b) = 8b + -15 + -9b (-4 * 2 + 3b * 2) = 8b + -15 + -9b (-8 + 6b) = 8b + -15 + -9b Reorder the terms: -8 + 6b = -15 + 8b + -9b Combine like terms: 8b + -9b = -1b -8 + 6b = -15 + -1b Solving -8 + 6b = -15 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -8 + 6b + b = -15 + -1b + b Combine like terms: 6b + b = 7b -8 + 7b = -15 + -1b + b Combine like terms: -1b + b = 0 -8 + 7b = -15 + 0 -8 + 7b = -15 Add '8' to each side of the equation. -8 + 8 + 7b = -15 + 8 Combine like terms: -8 + 8 = 0 0 + 7b = -15 + 8 7b = -15 + 8 Combine like terms: -15 + 8 = -7 7b = -7 Divide each side by '7'. b = -1 Simplifying b = -1
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