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Simplifying -4(6f + 9) = -17 + 8f Reorder the terms: -4(9 + 6f) = -17 + 8f (9 * -4 + 6f * -4) = -17 + 8f (-36 + -24f) = -17 + 8f Solving -36 + -24f = -17 + 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. -36 + -24f + -8f = -17 + 8f + -8f Combine like terms: -24f + -8f = -32f -36 + -32f = -17 + 8f + -8f Combine like terms: 8f + -8f = 0 -36 + -32f = -17 + 0 -36 + -32f = -17 Add '36' to each side of the equation. -36 + 36 + -32f = -17 + 36 Combine like terms: -36 + 36 = 0 0 + -32f = -17 + 36 -32f = -17 + 36 Combine like terms: -17 + 36 = 19 -32f = 19 Divide each side by '-32'. f = -0.59375 Simplifying f = -0.59375
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