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Simplifying 3(4b + 2) = (2b + -14) Reorder the terms: 3(2 + 4b) = (2b + -14) (2 * 3 + 4b * 3) = (2b + -14) (6 + 12b) = (2b + -14) Reorder the terms: 6 + 12b = (-14 + 2b) Remove parenthesis around (-14 + 2b) 6 + 12b = -14 + 2b Solving 6 + 12b = -14 + 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 = -14 + 2b + -2b Combine like terms: 12b + -2b = 10b 6 + 10b = -14 + 2b + -2b Combine like terms: 2b + -2b = 0 6 + 10b = -14 + 0 6 + 10b = -14 Add '-6' to each side of the equation. 6 + -6 + 10b = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 10b = -14 + -6 10b = -14 + -6 Combine like terms: -14 + -6 = -20 10b = -20 Divide each side by '10'. b = -2 Simplifying b = -2
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