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Simplifying 18 + -1(14 + f) = 1 + -1(4f + 6) 18 + (14 * -1 + f * -1) = 1 + -1(4f + 6) 18 + (-14 + -1f) = 1 + -1(4f + 6) Combine like terms: 18 + -14 = 4 4 + -1f = 1 + -1(4f + 6) Reorder the terms: 4 + -1f = 1 + -1(6 + 4f) 4 + -1f = 1 + (6 * -1 + 4f * -1) 4 + -1f = 1 + (-6 + -4f) Combine like terms: 1 + -6 = -5 4 + -1f = -5 + -4f Solving 4 + -1f = -5 + -4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '4f' to each side of the equation. 4 + -1f + 4f = -5 + -4f + 4f Combine like terms: -1f + 4f = 3f 4 + 3f = -5 + -4f + 4f Combine like terms: -4f + 4f = 0 4 + 3f = -5 + 0 4 + 3f = -5 Add '-4' to each side of the equation. 4 + -4 + 3f = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 3f = -5 + -4 3f = -5 + -4 Combine like terms: -5 + -4 = -9 3f = -9 Divide each side by '3'. f = -3 Simplifying f = -3
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