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Simplifying 6(2b + -4) = -12b + 14 Reorder the terms: 6(-4 + 2b) = -12b + 14 (-4 * 6 + 2b * 6) = -12b + 14 (-24 + 12b) = -12b + 14 Reorder the terms: -24 + 12b = 14 + -12b Solving -24 + 12b = 14 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. -24 + 12b + 12b = 14 + -12b + 12b Combine like terms: 12b + 12b = 24b -24 + 24b = 14 + -12b + 12b Combine like terms: -12b + 12b = 0 -24 + 24b = 14 + 0 -24 + 24b = 14 Add '24' to each side of the equation. -24 + 24 + 24b = 14 + 24 Combine like terms: -24 + 24 = 0 0 + 24b = 14 + 24 24b = 14 + 24 Combine like terms: 14 + 24 = 38 24b = 38 Divide each side by '24'. b = 1.583333333 Simplifying b = 1.583333333
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