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Simplifying 8f + -3(2f + -12) = 46 Reorder the terms: 8f + -3(-12 + 2f) = 46 8f + (-12 * -3 + 2f * -3) = 46 8f + (36 + -6f) = 46 Reorder the terms: 36 + 8f + -6f = 46 Combine like terms: 8f + -6f = 2f 36 + 2f = 46 Solving 36 + 2f = 46 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 2f = 46 + -36 Combine like terms: 36 + -36 = 0 0 + 2f = 46 + -36 2f = 46 + -36 Combine like terms: 46 + -36 = 10 2f = 10 Divide each side by '2'. f = 5 Simplifying f = 5
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