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Simplifying 3(2f + 4) = 2(f + -6) Reorder the terms: 3(4 + 2f) = 2(f + -6) (4 * 3 + 2f * 3) = 2(f + -6) (12 + 6f) = 2(f + -6) Reorder the terms: 12 + 6f = 2(-6 + f) 12 + 6f = (-6 * 2 + f * 2) 12 + 6f = (-12 + 2f) Solving 12 + 6f = -12 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. 12 + 6f + -2f = -12 + 2f + -2f Combine like terms: 6f + -2f = 4f 12 + 4f = -12 + 2f + -2f Combine like terms: 2f + -2f = 0 12 + 4f = -12 + 0 12 + 4f = -12 Add '-12' to each side of the equation. 12 + -12 + 4f = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 4f = -12 + -12 4f = -12 + -12 Combine like terms: -12 + -12 = -24 4f = -24 Divide each side by '4'. f = -6 Simplifying f = -6
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