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Simplifying -3(9f + -7) = -32 + -6f Reorder the terms: -3(-7 + 9f) = -32 + -6f (-7 * -3 + 9f * -3) = -32 + -6f (21 + -27f) = -32 + -6f Solving 21 + -27f = -32 + -6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '6f' to each side of the equation. 21 + -27f + 6f = -32 + -6f + 6f Combine like terms: -27f + 6f = -21f 21 + -21f = -32 + -6f + 6f Combine like terms: -6f + 6f = 0 21 + -21f = -32 + 0 21 + -21f = -32 Add '-21' to each side of the equation. 21 + -21 + -21f = -32 + -21 Combine like terms: 21 + -21 = 0 0 + -21f = -32 + -21 -21f = -32 + -21 Combine like terms: -32 + -21 = -53 -21f = -53 Divide each side by '-21'. f = 2.523809524 Simplifying f = 2.523809524
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