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Simplifying -5(4 + -2b) + -1(8b + 6) = b + 8 + -3b + 6 (4 * -5 + -2b * -5) + -1(8b + 6) = b + 8 + -3b + 6 (-20 + 10b) + -1(8b + 6) = b + 8 + -3b + 6 Reorder the terms: -20 + 10b + -1(6 + 8b) = b + 8 + -3b + 6 -20 + 10b + (6 * -1 + 8b * -1) = b + 8 + -3b + 6 -20 + 10b + (-6 + -8b) = b + 8 + -3b + 6 Reorder the terms: -20 + -6 + 10b + -8b = b + 8 + -3b + 6 Combine like terms: -20 + -6 = -26 -26 + 10b + -8b = b + 8 + -3b + 6 Combine like terms: 10b + -8b = 2b -26 + 2b = b + 8 + -3b + 6 Reorder the terms: -26 + 2b = 8 + 6 + b + -3b Combine like terms: 8 + 6 = 14 -26 + 2b = 14 + b + -3b Combine like terms: b + -3b = -2b -26 + 2b = 14 + -2b Solving -26 + 2b = 14 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -26 + 2b + 2b = 14 + -2b + 2b Combine like terms: 2b + 2b = 4b -26 + 4b = 14 + -2b + 2b Combine like terms: -2b + 2b = 0 -26 + 4b = 14 + 0 -26 + 4b = 14 Add '26' to each side of the equation. -26 + 26 + 4b = 14 + 26 Combine like terms: -26 + 26 = 0 0 + 4b = 14 + 26 4b = 14 + 26 Combine like terms: 14 + 26 = 40 4b = 40 Divide each side by '4'. b = 10 Simplifying b = 10
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