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