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Simplifying 6(f + -5) + 8 = 2f Reorder the terms: 6(-5 + f) + 8 = 2f (-5 * 6 + f * 6) + 8 = 2f (-30 + 6f) + 8 = 2f Reorder the terms: -30 + 8 + 6f = 2f Combine like terms: -30 + 8 = -22 -22 + 6f = 2f Solving -22 + 6f = 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. -22 + 6f + -2f = 2f + -2f Combine like terms: 6f + -2f = 4f -22 + 4f = 2f + -2f Combine like terms: 2f + -2f = 0 -22 + 4f = 0 Add '22' to each side of the equation. -22 + 22 + 4f = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 4f = 0 + 22 4f = 0 + 22 Combine like terms: 0 + 22 = 22 4f = 22 Divide each side by '4'. f = 5.5 Simplifying f = 5.5
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