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Simplifying -4(2f + -6) = 18 + -5f Reorder the terms: -4(-6 + 2f) = 18 + -5f (-6 * -4 + 2f * -4) = 18 + -5f (24 + -8f) = 18 + -5f Solving 24 + -8f = 18 + -5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '5f' to each side of the equation. 24 + -8f + 5f = 18 + -5f + 5f Combine like terms: -8f + 5f = -3f 24 + -3f = 18 + -5f + 5f Combine like terms: -5f + 5f = 0 24 + -3f = 18 + 0 24 + -3f = 18 Add '-24' to each side of the equation. 24 + -24 + -3f = 18 + -24 Combine like terms: 24 + -24 = 0 0 + -3f = 18 + -24 -3f = 18 + -24 Combine like terms: 18 + -24 = -6 -3f = -6 Divide each side by '-3'. f = 2 Simplifying f = 2
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