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Simplifying 0.8333(f + -18) + 6 = -0.5f + 9 Reorder the terms: 0.8333(-18 + f) + 6 = -0.5f + 9 (-18 * 0.8333 + f * 0.8333) + 6 = -0.5f + 9 (-14.9994 + 0.8333f) + 6 = -0.5f + 9 Reorder the terms: -14.9994 + 6 + 0.8333f = -0.5f + 9 Combine like terms: -14.9994 + 6 = -8.9994 -8.9994 + 0.8333f = -0.5f + 9 Reorder the terms: -8.9994 + 0.8333f = 9 + -0.5f Solving -8.9994 + 0.8333f = 9 + -0.5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '0.5f' to each side of the equation. -8.9994 + 0.8333f + 0.5f = 9 + -0.5f + 0.5f Combine like terms: 0.8333f + 0.5f = 1.3333f -8.9994 + 1.3333f = 9 + -0.5f + 0.5f Combine like terms: -0.5f + 0.5f = 0.0 -8.9994 + 1.3333f = 9 + 0.0 -8.9994 + 1.3333f = 9 Add '8.9994' to each side of the equation. -8.9994 + 8.9994 + 1.3333f = 9 + 8.9994 Combine like terms: -8.9994 + 8.9994 = 0.0000 0.0000 + 1.3333f = 9 + 8.9994 1.3333f = 9 + 8.9994 Combine like terms: 9 + 8.9994 = 17.9994 1.3333f = 17.9994 Divide each side by '1.3333'. f = 13.4998875 Simplifying f = 13.4998875
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