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Simplifying 3(f + 4) + -2 = 43 Reorder the terms: 3(4 + f) + -2 = 43 (4 * 3 + f * 3) + -2 = 43 (12 + 3f) + -2 = 43 Reorder the terms: 12 + -2 + 3f = 43 Combine like terms: 12 + -2 = 10 10 + 3f = 43 Solving 10 + 3f = 43 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3f = 43 + -10 Combine like terms: 10 + -10 = 0 0 + 3f = 43 + -10 3f = 43 + -10 Combine like terms: 43 + -10 = 33 3f = 33 Divide each side by '3'. f = 11 Simplifying f = 11
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