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Simplifying -2(2f + -4) = 14(f + 2) Reorder the terms: -2(-4 + 2f) = 14(f + 2) (-4 * -2 + 2f * -2) = 14(f + 2) (8 + -4f) = 14(f + 2) Reorder the terms: 8 + -4f = 14(2 + f) 8 + -4f = (2 * 14 + f * 14) 8 + -4f = (28 + 14f) Solving 8 + -4f = 28 + 14f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-14f' to each side of the equation. 8 + -4f + -14f = 28 + 14f + -14f Combine like terms: -4f + -14f = -18f 8 + -18f = 28 + 14f + -14f Combine like terms: 14f + -14f = 0 8 + -18f = 28 + 0 8 + -18f = 28 Add '-8' to each side of the equation. 8 + -8 + -18f = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -18f = 28 + -8 -18f = 28 + -8 Combine like terms: 28 + -8 = 20 -18f = 20 Divide each side by '-18'. f = -1.111111111 Simplifying f = -1.111111111
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