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Simplifying 5(3f + -2) = 6(2f + 4) Reorder the terms: 5(-2 + 3f) = 6(2f + 4) (-2 * 5 + 3f * 5) = 6(2f + 4) (-10 + 15f) = 6(2f + 4) Reorder the terms: -10 + 15f = 6(4 + 2f) -10 + 15f = (4 * 6 + 2f * 6) -10 + 15f = (24 + 12f) Solving -10 + 15f = 24 + 12f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12f' to each side of the equation. -10 + 15f + -12f = 24 + 12f + -12f Combine like terms: 15f + -12f = 3f -10 + 3f = 24 + 12f + -12f Combine like terms: 12f + -12f = 0 -10 + 3f = 24 + 0 -10 + 3f = 24 Add '10' to each side of the equation. -10 + 10 + 3f = 24 + 10 Combine like terms: -10 + 10 = 0 0 + 3f = 24 + 10 3f = 24 + 10 Combine like terms: 24 + 10 = 34 3f = 34 Divide each side by '3'. f = 11.33333333 Simplifying f = 11.33333333
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