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Simplifying -8(2f + -20) + 20 = -18 + 6f Reorder the terms: -8(-20 + 2f) + 20 = -18 + 6f (-20 * -8 + 2f * -8) + 20 = -18 + 6f (160 + -16f) + 20 = -18 + 6f Reorder the terms: 160 + 20 + -16f = -18 + 6f Combine like terms: 160 + 20 = 180 180 + -16f = -18 + 6f Solving 180 + -16f = -18 + 6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6f' to each side of the equation. 180 + -16f + -6f = -18 + 6f + -6f Combine like terms: -16f + -6f = -22f 180 + -22f = -18 + 6f + -6f Combine like terms: 6f + -6f = 0 180 + -22f = -18 + 0 180 + -22f = -18 Add '-180' to each side of the equation. 180 + -180 + -22f = -18 + -180 Combine like terms: 180 + -180 = 0 0 + -22f = -18 + -180 -22f = -18 + -180 Combine like terms: -18 + -180 = -198 -22f = -198 Divide each side by '-22'. f = 9 Simplifying f = 9
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