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Simplifying 3(2f + 4) = 3(3f + -6) Reorder the terms: 3(4 + 2f) = 3(3f + -6) (4 * 3 + 2f * 3) = 3(3f + -6) (12 + 6f) = 3(3f + -6) Reorder the terms: 12 + 6f = 3(-6 + 3f) 12 + 6f = (-6 * 3 + 3f * 3) 12 + 6f = (-18 + 9f) Solving 12 + 6f = -18 + 9f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9f' to each side of the equation. 12 + 6f + -9f = -18 + 9f + -9f Combine like terms: 6f + -9f = -3f 12 + -3f = -18 + 9f + -9f Combine like terms: 9f + -9f = 0 12 + -3f = -18 + 0 12 + -3f = -18 Add '-12' to each side of the equation. 12 + -12 + -3f = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -3f = -18 + -12 -3f = -18 + -12 Combine like terms: -18 + -12 = -30 -3f = -30 Divide each side by '-3'. f = 10 Simplifying f = 10
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