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Simplifying 5(2b + -4) = 3(2b + 4) Reorder the terms: 5(-4 + 2b) = 3(2b + 4) (-4 * 5 + 2b * 5) = 3(2b + 4) (-20 + 10b) = 3(2b + 4) Reorder the terms: -20 + 10b = 3(4 + 2b) -20 + 10b = (4 * 3 + 2b * 3) -20 + 10b = (12 + 6b) Solving -20 + 10b = 12 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -20 + 10b + -6b = 12 + 6b + -6b Combine like terms: 10b + -6b = 4b -20 + 4b = 12 + 6b + -6b Combine like terms: 6b + -6b = 0 -20 + 4b = 12 + 0 -20 + 4b = 12 Add '20' to each side of the equation. -20 + 20 + 4b = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 4b = 12 + 20 4b = 12 + 20 Combine like terms: 12 + 20 = 32 4b = 32 Divide each side by '4'. b = 8 Simplifying b = 8
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