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Simplifying 6(2f + 4) = 2(3f + -6) Reorder the terms: 6(4 + 2f) = 2(3f + -6) (4 * 6 + 2f * 6) = 2(3f + -6) (24 + 12f) = 2(3f + -6) Reorder the terms: 24 + 12f = 2(-6 + 3f) 24 + 12f = (-6 * 2 + 3f * 2) 24 + 12f = (-12 + 6f) Solving 24 + 12f = -12 + 6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6f' to each side of the equation. 24 + 12f + -6f = -12 + 6f + -6f Combine like terms: 12f + -6f = 6f 24 + 6f = -12 + 6f + -6f Combine like terms: 6f + -6f = 0 24 + 6f = -12 + 0 24 + 6f = -12 Add '-24' to each side of the equation. 24 + -24 + 6f = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 6f = -12 + -24 6f = -12 + -24 Combine like terms: -12 + -24 = -36 6f = -36 Divide each side by '6'. f = -6 Simplifying f = -6
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