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Simplifying 5f + 18 + 3f = -13f + -2(-11f + -2) Reorder the terms: 18 + 5f + 3f = -13f + -2(-11f + -2) Combine like terms: 5f + 3f = 8f 18 + 8f = -13f + -2(-11f + -2) Reorder the terms: 18 + 8f = -13f + -2(-2 + -11f) 18 + 8f = -13f + (-2 * -2 + -11f * -2) 18 + 8f = -13f + (4 + 22f) Reorder the terms: 18 + 8f = 4 + -13f + 22f Combine like terms: -13f + 22f = 9f 18 + 8f = 4 + 9f Solving 18 + 8f = 4 + 9f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9f' to each side of the equation. 18 + 8f + -9f = 4 + 9f + -9f Combine like terms: 8f + -9f = -1f 18 + -1f = 4 + 9f + -9f Combine like terms: 9f + -9f = 0 18 + -1f = 4 + 0 18 + -1f = 4 Add '-18' to each side of the equation. 18 + -18 + -1f = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -1f = 4 + -18 -1f = 4 + -18 Combine like terms: 4 + -18 = -14 -1f = -14 Divide each side by '-1'. f = 14 Simplifying f = 14
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