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Simplifying -9(5f + -4) = -31 + 3f Reorder the terms: -9(-4 + 5f) = -31 + 3f (-4 * -9 + 5f * -9) = -31 + 3f (36 + -45f) = -31 + 3f Solving 36 + -45f = -31 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. 36 + -45f + -3f = -31 + 3f + -3f Combine like terms: -45f + -3f = -48f 36 + -48f = -31 + 3f + -3f Combine like terms: 3f + -3f = 0 36 + -48f = -31 + 0 36 + -48f = -31 Add '-36' to each side of the equation. 36 + -36 + -48f = -31 + -36 Combine like terms: 36 + -36 = 0 0 + -48f = -31 + -36 -48f = -31 + -36 Combine like terms: -31 + -36 = -67 -48f = -67 Divide each side by '-48'. f = 1.395833333 Simplifying f = 1.395833333
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