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Simplifying -3(2 + -5b) + -4(2 + 4b) = b + 5 + 1 + 8b (2 * -3 + -5b * -3) + -4(2 + 4b) = b + 5 + 1 + 8b (-6 + 15b) + -4(2 + 4b) = b + 5 + 1 + 8b -6 + 15b + (2 * -4 + 4b * -4) = b + 5 + 1 + 8b -6 + 15b + (-8 + -16b) = b + 5 + 1 + 8b Reorder the terms: -6 + -8 + 15b + -16b = b + 5 + 1 + 8b Combine like terms: -6 + -8 = -14 -14 + 15b + -16b = b + 5 + 1 + 8b Combine like terms: 15b + -16b = -1b -14 + -1b = b + 5 + 1 + 8b Reorder the terms: -14 + -1b = 5 + 1 + b + 8b Combine like terms: 5 + 1 = 6 -14 + -1b = 6 + b + 8b Combine like terms: b + 8b = 9b -14 + -1b = 6 + 9b Solving -14 + -1b = 6 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. -14 + -1b + -9b = 6 + 9b + -9b Combine like terms: -1b + -9b = -10b -14 + -10b = 6 + 9b + -9b Combine like terms: 9b + -9b = 0 -14 + -10b = 6 + 0 -14 + -10b = 6 Add '14' to each side of the equation. -14 + 14 + -10b = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -10b = 6 + 14 -10b = 6 + 14 Combine like terms: 6 + 14 = 20 -10b = 20 Divide each side by '-10'. b = -2 Simplifying b = -2
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