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Simplifying 3(2f + -9) = -1(7 + -1f) Reorder the terms: 3(-9 + 2f) = -1(7 + -1f) (-9 * 3 + 2f * 3) = -1(7 + -1f) (-27 + 6f) = -1(7 + -1f) -27 + 6f = (7 * -1 + -1f * -1) -27 + 6f = (-7 + 1f) Solving -27 + 6f = -7 + 1f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1f' to each side of the equation. -27 + 6f + -1f = -7 + 1f + -1f Combine like terms: 6f + -1f = 5f -27 + 5f = -7 + 1f + -1f Combine like terms: 1f + -1f = 0 -27 + 5f = -7 + 0 -27 + 5f = -7 Add '27' to each side of the equation. -27 + 27 + 5f = -7 + 27 Combine like terms: -27 + 27 = 0 0 + 5f = -7 + 27 5f = -7 + 27 Combine like terms: -7 + 27 = 20 5f = 20 Divide each side by '5'. f = 4 Simplifying f = 4
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