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Simplifying 18(5 + -1f) = 2(3f + 2) (5 * 18 + -1f * 18) = 2(3f + 2) (90 + -18f) = 2(3f + 2) Reorder the terms: 90 + -18f = 2(2 + 3f) 90 + -18f = (2 * 2 + 3f * 2) 90 + -18f = (4 + 6f) Solving 90 + -18f = 4 + 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. 90 + -18f + -6f = 4 + 6f + -6f Combine like terms: -18f + -6f = -24f 90 + -24f = 4 + 6f + -6f Combine like terms: 6f + -6f = 0 90 + -24f = 4 + 0 90 + -24f = 4 Add '-90' to each side of the equation. 90 + -90 + -24f = 4 + -90 Combine like terms: 90 + -90 = 0 0 + -24f = 4 + -90 -24f = 4 + -90 Combine like terms: 4 + -90 = -86 -24f = -86 Divide each side by '-24'. f = 3.583333333 Simplifying f = 3.583333333
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