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Simplifying 2(f + 3) + -2 = 8 + 24 Reorder the terms: 2(3 + f) + -2 = 8 + 24 (3 * 2 + f * 2) + -2 = 8 + 24 (6 + 2f) + -2 = 8 + 24 Reorder the terms: 6 + -2 + 2f = 8 + 24 Combine like terms: 6 + -2 = 4 4 + 2f = 8 + 24 Combine like terms: 8 + 24 = 32 4 + 2f = 32 Solving 4 + 2f = 32 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2f = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 2f = 32 + -4 2f = 32 + -4 Combine like terms: 32 + -4 = 28 2f = 28 Divide each side by '2'. f = 14 Simplifying f = 14
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