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Simplifying 5(b + -4) = -9(b + -10) + -8b Reorder the terms: 5(-4 + b) = -9(b + -10) + -8b (-4 * 5 + b * 5) = -9(b + -10) + -8b (-20 + 5b) = -9(b + -10) + -8b Reorder the terms: -20 + 5b = -9(-10 + b) + -8b -20 + 5b = (-10 * -9 + b * -9) + -8b -20 + 5b = (90 + -9b) + -8b Combine like terms: -9b + -8b = -17b -20 + 5b = 90 + -17b Solving -20 + 5b = 90 + -17b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17b' to each side of the equation. -20 + 5b + 17b = 90 + -17b + 17b Combine like terms: 5b + 17b = 22b -20 + 22b = 90 + -17b + 17b Combine like terms: -17b + 17b = 0 -20 + 22b = 90 + 0 -20 + 22b = 90 Add '20' to each side of the equation. -20 + 20 + 22b = 90 + 20 Combine like terms: -20 + 20 = 0 0 + 22b = 90 + 20 22b = 90 + 20 Combine like terms: 90 + 20 = 110 22b = 110 Divide each side by '22'. b = 5 Simplifying b = 5
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