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Simplifying 5(2f + 4) = 2(3f + -6) Reorder the terms: 5(4 + 2f) = 2(3f + -6) (4 * 5 + 2f * 5) = 2(3f + -6) (20 + 10f) = 2(3f + -6) Reorder the terms: 20 + 10f = 2(-6 + 3f) 20 + 10f = (-6 * 2 + 3f * 2) 20 + 10f = (-12 + 6f) Solving 20 + 10f = -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. 20 + 10f + -6f = -12 + 6f + -6f Combine like terms: 10f + -6f = 4f 20 + 4f = -12 + 6f + -6f Combine like terms: 6f + -6f = 0 20 + 4f = -12 + 0 20 + 4f = -12 Add '-20' to each side of the equation. 20 + -20 + 4f = -12 + -20 Combine like terms: 20 + -20 = 0 0 + 4f = -12 + -20 4f = -12 + -20 Combine like terms: -12 + -20 = -32 4f = -32 Divide each side by '4'. f = -8 Simplifying f = -8
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