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Simplifying -27 + 6f = -5(4f + -7) Reorder the terms: -27 + 6f = -5(-7 + 4f) -27 + 6f = (-7 * -5 + 4f * -5) -27 + 6f = (35 + -20f) Solving -27 + 6f = 35 + -20f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '20f' to each side of the equation. -27 + 6f + 20f = 35 + -20f + 20f Combine like terms: 6f + 20f = 26f -27 + 26f = 35 + -20f + 20f Combine like terms: -20f + 20f = 0 -27 + 26f = 35 + 0 -27 + 26f = 35 Add '27' to each side of the equation. -27 + 27 + 26f = 35 + 27 Combine like terms: -27 + 27 = 0 0 + 26f = 35 + 27 26f = 35 + 27 Combine like terms: 35 + 27 = 62 26f = 62 Divide each side by '26'. f = 2.384615385 Simplifying f = 2.384615385
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