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Simplifying 18(f + 2) = 3f + -9 + 5f + -5 Reorder the terms: 18(2 + f) = 3f + -9 + 5f + -5 (2 * 18 + f * 18) = 3f + -9 + 5f + -5 (36 + 18f) = 3f + -9 + 5f + -5 Reorder the terms: 36 + 18f = -9 + -5 + 3f + 5f Combine like terms: -9 + -5 = -14 36 + 18f = -14 + 3f + 5f Combine like terms: 3f + 5f = 8f 36 + 18f = -14 + 8f Solving 36 + 18f = -14 + 8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. 36 + 18f + -8f = -14 + 8f + -8f Combine like terms: 18f + -8f = 10f 36 + 10f = -14 + 8f + -8f Combine like terms: 8f + -8f = 0 36 + 10f = -14 + 0 36 + 10f = -14 Add '-36' to each side of the equation. 36 + -36 + 10f = -14 + -36 Combine like terms: 36 + -36 = 0 0 + 10f = -14 + -36 10f = -14 + -36 Combine like terms: -14 + -36 = -50 10f = -50 Divide each side by '10'. f = -5 Simplifying f = -5
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