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Simplifying -6(3f + -4) = -31 + 9f Reorder the terms: -6(-4 + 3f) = -31 + 9f (-4 * -6 + 3f * -6) = -31 + 9f (24 + -18f) = -31 + 9f Solving 24 + -18f = -31 + 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. 24 + -18f + -9f = -31 + 9f + -9f Combine like terms: -18f + -9f = -27f 24 + -27f = -31 + 9f + -9f Combine like terms: 9f + -9f = 0 24 + -27f = -31 + 0 24 + -27f = -31 Add '-24' to each side of the equation. 24 + -24 + -27f = -31 + -24 Combine like terms: 24 + -24 = 0 0 + -27f = -31 + -24 -27f = -31 + -24 Combine like terms: -31 + -24 = -55 -27f = -55 Divide each side by '-27'. f = 2.037037037 Simplifying f = 2.037037037
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