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Simplifying 6(f + 5) = 2f + 10 + -2 Reorder the terms: 6(5 + f) = 2f + 10 + -2 (5 * 6 + f * 6) = 2f + 10 + -2 (30 + 6f) = 2f + 10 + -2 Reorder the terms: 30 + 6f = 10 + -2 + 2f Combine like terms: 10 + -2 = 8 30 + 6f = 8 + 2f Solving 30 + 6f = 8 + 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. 30 + 6f + -2f = 8 + 2f + -2f Combine like terms: 6f + -2f = 4f 30 + 4f = 8 + 2f + -2f Combine like terms: 2f + -2f = 0 30 + 4f = 8 + 0 30 + 4f = 8 Add '-30' to each side of the equation. 30 + -30 + 4f = 8 + -30 Combine like terms: 30 + -30 = 0 0 + 4f = 8 + -30 4f = 8 + -30 Combine like terms: 8 + -30 = -22 4f = -22 Divide each side by '4'. f = -5.5 Simplifying f = -5.5
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