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Simplifying 2(4f + -3) + -8 = 4 + 2f Reorder the terms: 2(-3 + 4f) + -8 = 4 + 2f (-3 * 2 + 4f * 2) + -8 = 4 + 2f (-6 + 8f) + -8 = 4 + 2f Reorder the terms: -6 + -8 + 8f = 4 + 2f Combine like terms: -6 + -8 = -14 -14 + 8f = 4 + 2f Solving -14 + 8f = 4 + 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. -14 + 8f + -2f = 4 + 2f + -2f Combine like terms: 8f + -2f = 6f -14 + 6f = 4 + 2f + -2f Combine like terms: 2f + -2f = 0 -14 + 6f = 4 + 0 -14 + 6f = 4 Add '14' to each side of the equation. -14 + 14 + 6f = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 6f = 4 + 14 6f = 4 + 14 Combine like terms: 4 + 14 = 18 6f = 18 Divide each side by '6'. f = 3 Simplifying f = 3
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