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Simplifying 27 = 4(2f + -9) Reorder the terms: 27 = 4(-9 + 2f) 27 = (-9 * 4 + 2f * 4) 27 = (-36 + 8f) Solving 27 = -36 + 8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. 27 + -8f = -36 + 8f + -8f Combine like terms: 8f + -8f = 0 27 + -8f = -36 + 0 27 + -8f = -36 Add '-27' to each side of the equation. 27 + -27 + -8f = -36 + -27 Combine like terms: 27 + -27 = 0 0 + -8f = -36 + -27 -8f = -36 + -27 Combine like terms: -36 + -27 = -63 -8f = -63 Divide each side by '-8'. f = 7.875 Simplifying f = 7.875
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