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Simplifying 8 = 8f + -4(f + 8) Reorder the terms: 8 = 8f + -4(8 + f) 8 = 8f + (8 * -4 + f * -4) 8 = 8f + (-32 + -4f) Reorder the terms: 8 = -32 + 8f + -4f Combine like terms: 8f + -4f = 4f 8 = -32 + 4f Solving 8 = -32 + 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 = -32 + 4f + -4f Combine like terms: 4f + -4f = 0 8 + -4f = -32 + 0 8 + -4f = -32 Add '-8' to each side of the equation. 8 + -8 + -4f = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -4f = -32 + -8 -4f = -32 + -8 Combine like terms: -32 + -8 = -40 -4f = -40 Divide each side by '-4'. f = 10 Simplifying f = 10
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