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Simplifying 4(3b + -2) = 5(2b + 4) Reorder the terms: 4(-2 + 3b) = 5(2b + 4) (-2 * 4 + 3b * 4) = 5(2b + 4) (-8 + 12b) = 5(2b + 4) Reorder the terms: -8 + 12b = 5(4 + 2b) -8 + 12b = (4 * 5 + 2b * 5) -8 + 12b = (20 + 10b) Solving -8 + 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. -8 + 12b + -10b = 20 + 10b + -10b Combine like terms: 12b + -10b = 2b -8 + 2b = 20 + 10b + -10b Combine like terms: 10b + -10b = 0 -8 + 2b = 20 + 0 -8 + 2b = 20 Add '8' to each side of the equation. -8 + 8 + 2b = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 2b = 20 + 8 2b = 20 + 8 Combine like terms: 20 + 8 = 28 2b = 28 Divide each side by '2'. b = 14 Simplifying b = 14
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