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Simplifying -5(11 + -3f) = 6f + -4 (11 * -5 + -3f * -5) = 6f + -4 (-55 + 15f) = 6f + -4 Reorder the terms: -55 + 15f = -4 + 6f Solving -55 + 15f = -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. -55 + 15f + -6f = -4 + 6f + -6f Combine like terms: 15f + -6f = 9f -55 + 9f = -4 + 6f + -6f Combine like terms: 6f + -6f = 0 -55 + 9f = -4 + 0 -55 + 9f = -4 Add '55' to each side of the equation. -55 + 55 + 9f = -4 + 55 Combine like terms: -55 + 55 = 0 0 + 9f = -4 + 55 9f = -4 + 55 Combine like terms: -4 + 55 = 51 9f = 51 Divide each side by '9'. f = 5.666666667 Simplifying f = 5.666666667
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