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Simplifying 2f + 6(f + 20) = -8 + 4f Reorder the terms: 2f + 6(20 + f) = -8 + 4f 2f + (20 * 6 + f * 6) = -8 + 4f 2f + (120 + 6f) = -8 + 4f Reorder the terms: 120 + 2f + 6f = -8 + 4f Combine like terms: 2f + 6f = 8f 120 + 8f = -8 + 4f Solving 120 + 8f = -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. 120 + 8f + -4f = -8 + 4f + -4f Combine like terms: 8f + -4f = 4f 120 + 4f = -8 + 4f + -4f Combine like terms: 4f + -4f = 0 120 + 4f = -8 + 0 120 + 4f = -8 Add '-120' to each side of the equation. 120 + -120 + 4f = -8 + -120 Combine like terms: 120 + -120 = 0 0 + 4f = -8 + -120 4f = -8 + -120 Combine like terms: -8 + -120 = -128 4f = -128 Divide each side by '4'. f = -32 Simplifying f = -32
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