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Simplifying 4(b + -5) = 2(3 + -5b) Reorder the terms: 4(-5 + b) = 2(3 + -5b) (-5 * 4 + b * 4) = 2(3 + -5b) (-20 + 4b) = 2(3 + -5b) -20 + 4b = (3 * 2 + -5b * 2) -20 + 4b = (6 + -10b) Solving -20 + 4b = 6 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. -20 + 4b + 10b = 6 + -10b + 10b Combine like terms: 4b + 10b = 14b -20 + 14b = 6 + -10b + 10b Combine like terms: -10b + 10b = 0 -20 + 14b = 6 + 0 -20 + 14b = 6 Add '20' to each side of the equation. -20 + 20 + 14b = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 14b = 6 + 20 14b = 6 + 20 Combine like terms: 6 + 20 = 26 14b = 26 Divide each side by '14'. b = 1.857142857 Simplifying b = 1.857142857
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