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Simplifying 2(3f + 1) = 32 Reorder the terms: 2(1 + 3f) = 32 (1 * 2 + 3f * 2) = 32 (2 + 6f) = 32 Solving 2 + 6f = 32 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6f = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 6f = 32 + -2 6f = 32 + -2 Combine like terms: 32 + -2 = 30 6f = 30 Divide each side by '6'. f = 5 Simplifying f = 5
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