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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 = 38 38 + 6f = 2f Solving 38 + 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. 38 + 6f + -2f = 2f + -2f Combine like terms: 6f + -2f = 4f 38 + 4f = 2f + -2f Combine like terms: 2f + -2f = 0 38 + 4f = 0 Add '-38' to each side of the equation. 38 + -38 + 4f = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 4f = 0 + -38 4f = 0 + -38 Combine like terms: 0 + -38 = -38 4f = -38 Divide each side by '4'. f = -9.5 Simplifying f = -9.5
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