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Simplifying 5(2f + 3) + 6(4f + -7) = 0 Reorder the terms: 5(3 + 2f) + 6(4f + -7) = 0 (3 * 5 + 2f * 5) + 6(4f + -7) = 0 (15 + 10f) + 6(4f + -7) = 0 Reorder the terms: 15 + 10f + 6(-7 + 4f) = 0 15 + 10f + (-7 * 6 + 4f * 6) = 0 15 + 10f + (-42 + 24f) = 0 Reorder the terms: 15 + -42 + 10f + 24f = 0 Combine like terms: 15 + -42 = -27 -27 + 10f + 24f = 0 Combine like terms: 10f + 24f = 34f -27 + 34f = 0 Solving -27 + 34f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 34f = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 34f = 0 + 27 34f = 0 + 27 Combine like terms: 0 + 27 = 27 34f = 27 Divide each side by '34'. f = 0.7941176471 Simplifying f = 0.7941176471
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