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Simplifying 8(f + 3) + -2 = 10 + 2f Reorder the terms: 8(3 + f) + -2 = 10 + 2f (3 * 8 + f * 8) + -2 = 10 + 2f (24 + 8f) + -2 = 10 + 2f Reorder the terms: 24 + -2 + 8f = 10 + 2f Combine like terms: 24 + -2 = 22 22 + 8f = 10 + 2f Solving 22 + 8f = 10 + 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 + 8f + -2f = 10 + 2f + -2f Combine like terms: 8f + -2f = 6f 22 + 6f = 10 + 2f + -2f Combine like terms: 2f + -2f = 0 22 + 6f = 10 + 0 22 + 6f = 10 Add '-22' to each side of the equation. 22 + -22 + 6f = 10 + -22 Combine like terms: 22 + -22 = 0 0 + 6f = 10 + -22 6f = 10 + -22 Combine like terms: 10 + -22 = -12 6f = -12 Divide each side by '6'. f = -2 Simplifying f = -2
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