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Simplifying 3(2f + 4) = 2(3f + -1b) Reorder the terms: 3(4 + 2f) = 2(3f + -1b) (4 * 3 + 2f * 3) = 2(3f + -1b) (12 + 6f) = 2(3f + -1b) Reorder the terms: 12 + 6f = 2(-1b + 3f) 12 + 6f = (-1b * 2 + 3f * 2) 12 + 6f = (-2b + 6f) Add '-6f' to each side of the equation. 12 + 6f + -6f = -2b + 6f + -6f Combine like terms: 6f + -6f = 0 12 + 0 = -2b + 6f + -6f 12 = -2b + 6f + -6f Combine like terms: 6f + -6f = 0 12 = -2b + 0 12 = -2b Solving 12 = -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. 12 + 2b = -2b + 2b Combine like terms: -2b + 2b = 0 12 + 2b = 0 Add '-12' to each side of the equation. 12 + -12 + 2b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2b = 0 + -12 2b = 0 + -12 Combine like terms: 0 + -12 = -12 2b = -12 Divide each side by '2'. b = -6 Simplifying b = -6
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