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Simplifying 6(f + -14) + 5(f + -18) = 2 Reorder the terms: 6(-14 + f) + 5(f + -18) = 2 (-14 * 6 + f * 6) + 5(f + -18) = 2 (-84 + 6f) + 5(f + -18) = 2 Reorder the terms: -84 + 6f + 5(-18 + f) = 2 -84 + 6f + (-18 * 5 + f * 5) = 2 -84 + 6f + (-90 + 5f) = 2 Reorder the terms: -84 + -90 + 6f + 5f = 2 Combine like terms: -84 + -90 = -174 -174 + 6f + 5f = 2 Combine like terms: 6f + 5f = 11f -174 + 11f = 2 Solving -174 + 11f = 2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '174' to each side of the equation. -174 + 174 + 11f = 2 + 174 Combine like terms: -174 + 174 = 0 0 + 11f = 2 + 174 11f = 2 + 174 Combine like terms: 2 + 174 = 176 11f = 176 Divide each side by '11'. f = 16 Simplifying f = 16
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