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Simplifying -5(9f + -3.5) = -18.5 + 6f Reorder the terms: -5(-3.5 + 9f) = -18.5 + 6f (-3.5 * -5 + 9f * -5) = -18.5 + 6f (17.5 + -45f) = -18.5 + 6f Solving 17.5 + -45f = -18.5 + 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. 17.5 + -45f + -6f = -18.5 + 6f + -6f Combine like terms: -45f + -6f = -51f 17.5 + -51f = -18.5 + 6f + -6f Combine like terms: 6f + -6f = 0 17.5 + -51f = -18.5 + 0 17.5 + -51f = -18.5 Add '-17.5' to each side of the equation. 17.5 + -17.5 + -51f = -18.5 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + -51f = -18.5 + -17.5 -51f = -18.5 + -17.5 Combine like terms: -18.5 + -17.5 = -36 -51f = -36 Divide each side by '-51'. f = 0.7058823529 Simplifying f = 0.7058823529
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