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Simplifying 5(4 + -1b) = -3(b + -9) (4 * 5 + -1b * 5) = -3(b + -9) (20 + -5b) = -3(b + -9) Reorder the terms: 20 + -5b = -3(-9 + b) 20 + -5b = (-9 * -3 + b * -3) 20 + -5b = (27 + -3b) Solving 20 + -5b = 27 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 20 + -5b + 3b = 27 + -3b + 3b Combine like terms: -5b + 3b = -2b 20 + -2b = 27 + -3b + 3b Combine like terms: -3b + 3b = 0 20 + -2b = 27 + 0 20 + -2b = 27 Add '-20' to each side of the equation. 20 + -20 + -2b = 27 + -20 Combine like terms: 20 + -20 = 0 0 + -2b = 27 + -20 -2b = 27 + -20 Combine like terms: 27 + -20 = 7 -2b = 7 Divide each side by '-2'. b = -3.5 Simplifying b = -3.5
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