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