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Simplifying 6(9f + -4) = 3(6f + 9) Reorder the terms: 6(-4 + 9f) = 3(6f + 9) (-4 * 6 + 9f * 6) = 3(6f + 9) (-24 + 54f) = 3(6f + 9) Reorder the terms: -24 + 54f = 3(9 + 6f) -24 + 54f = (9 * 3 + 6f * 3) -24 + 54f = (27 + 18f) Solving -24 + 54f = 27 + 18f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-18f' to each side of the equation. -24 + 54f + -18f = 27 + 18f + -18f Combine like terms: 54f + -18f = 36f -24 + 36f = 27 + 18f + -18f Combine like terms: 18f + -18f = 0 -24 + 36f = 27 + 0 -24 + 36f = 27 Add '24' to each side of the equation. -24 + 24 + 36f = 27 + 24 Combine like terms: -24 + 24 = 0 0 + 36f = 27 + 24 36f = 27 + 24 Combine like terms: 27 + 24 = 51 36f = 51 Divide each side by '36'. f = 1.416666667 Simplifying f = 1.416666667
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