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Simplifying 3(4b + -2) = 2b + 4 Reorder the terms: 3(-2 + 4b) = 2b + 4 (-2 * 3 + 4b * 3) = 2b + 4 (-6 + 12b) = 2b + 4 Reorder the terms: -6 + 12b = 4 + 2b Solving -6 + 12b = 4 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -6 + 12b + -2b = 4 + 2b + -2b Combine like terms: 12b + -2b = 10b -6 + 10b = 4 + 2b + -2b Combine like terms: 2b + -2b = 0 -6 + 10b = 4 + 0 -6 + 10b = 4 Add '6' to each side of the equation. -6 + 6 + 10b = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 10b = 4 + 6 10b = 4 + 6 Combine like terms: 4 + 6 = 10 10b = 10 Divide each side by '10'. b = 1 Simplifying b = 1
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