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Simplifying 4(3 + -1f) = 2(f + 12) (3 * 4 + -1f * 4) = 2(f + 12) (12 + -4f) = 2(f + 12) Reorder the terms: 12 + -4f = 2(12 + f) 12 + -4f = (12 * 2 + f * 2) 12 + -4f = (24 + 2f) Solving 12 + -4f = 24 + 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 + -4f + -2f = 24 + 2f + -2f Combine like terms: -4f + -2f = -6f 12 + -6f = 24 + 2f + -2f Combine like terms: 2f + -2f = 0 12 + -6f = 24 + 0 12 + -6f = 24 Add '-12' to each side of the equation. 12 + -12 + -6f = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -6f = 24 + -12 -6f = 24 + -12 Combine like terms: 24 + -12 = 12 -6f = 12 Divide each side by '-6'. f = -2 Simplifying f = -2
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