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Simplifying 2(f + -4) + -4f = -6f + 9f + 4 Reorder the terms: 2(-4 + f) + -4f = -6f + 9f + 4 (-4 * 2 + f * 2) + -4f = -6f + 9f + 4 (-8 + 2f) + -4f = -6f + 9f + 4 Combine like terms: 2f + -4f = -2f -8 + -2f = -6f + 9f + 4 Reorder the terms: -8 + -2f = 4 + -6f + 9f Combine like terms: -6f + 9f = 3f -8 + -2f = 4 + 3f Solving -8 + -2f = 4 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. -8 + -2f + -3f = 4 + 3f + -3f Combine like terms: -2f + -3f = -5f -8 + -5f = 4 + 3f + -3f Combine like terms: 3f + -3f = 0 -8 + -5f = 4 + 0 -8 + -5f = 4 Add '8' to each side of the equation. -8 + 8 + -5f = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -5f = 4 + 8 -5f = 4 + 8 Combine like terms: 4 + 8 = 12 -5f = 12 Divide each side by '-5'. f = -2.4 Simplifying f = -2.4
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