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Simplifying f * 2 + -1(4f + -2f * 2 + -8) = 2f * 2 + 4f + -8 Reorder the terms for easier multiplication: 2f + -1(4f + -2f * 2 + -8) = 2f * 2 + 4f + -8 Reorder the terms for easier multiplication: 2f + -1(4f + -2 * 2f + -8) = 2f * 2 + 4f + -8 Multiply -2 * 2 2f + -1(4f + -4f + -8) = 2f * 2 + 4f + -8 Reorder the terms: 2f + -1(-8 + 4f + -4f) = 2f * 2 + 4f + -8 Combine like terms: 4f + -4f = 0 2f + -1(-8 + 0) = 2f * 2 + 4f + -8 2f + -1(-8) = 2f * 2 + 4f + -8 Multiply -1 * -8 2f + 8 = 2f * 2 + 4f + -8 Reorder the terms: 8 + 2f = 2f * 2 + 4f + -8 Reorder the terms for easier multiplication: 8 + 2f = 2 * 2f + 4f + -8 Multiply 2 * 2 8 + 2f = 4f + 4f + -8 Reorder the terms: 8 + 2f = -8 + 4f + 4f Combine like terms: 4f + 4f = 8f 8 + 2f = -8 + 8f Solving 8 + 2f = -8 + 8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. 8 + 2f + -8f = -8 + 8f + -8f Combine like terms: 2f + -8f = -6f 8 + -6f = -8 + 8f + -8f Combine like terms: 8f + -8f = 0 8 + -6f = -8 + 0 8 + -6f = -8 Add '-8' to each side of the equation. 8 + -8 + -6f = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -6f = -8 + -8 -6f = -8 + -8 Combine like terms: -8 + -8 = -16 -6f = -16 Divide each side by '-6'. f = 2.666666667 Simplifying f = 2.666666667
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