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Simplifying 4(3b + -5) = 5(2b + 4) Reorder the terms: 4(-5 + 3b) = 5(2b + 4) (-5 * 4 + 3b * 4) = 5(2b + 4) (-20 + 12b) = 5(2b + 4) Reorder the terms: -20 + 12b = 5(4 + 2b) -20 + 12b = (4 * 5 + 2b * 5) -20 + 12b = (20 + 10b) Solving -20 + 12b = 20 + 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 + 12b + -10b = 20 + 10b + -10b Combine like terms: 12b + -10b = 2b -20 + 2b = 20 + 10b + -10b Combine like terms: 10b + -10b = 0 -20 + 2b = 20 + 0 -20 + 2b = 20 Add '20' to each side of the equation. -20 + 20 + 2b = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 2b = 20 + 20 2b = 20 + 20 Combine like terms: 20 + 20 = 40 2b = 40 Divide each side by '2'. b = 20 Simplifying b = 20
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