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Simplifying 3(6f + -12) = 36 + -18f Reorder the terms: 3(-12 + 6f) = 36 + -18f (-12 * 3 + 6f * 3) = 36 + -18f (-36 + 18f) = 36 + -18f Solving -36 + 18f = 36 + -18f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '18f' to each side of the equation. -36 + 18f + 18f = 36 + -18f + 18f Combine like terms: 18f + 18f = 36f -36 + 36f = 36 + -18f + 18f Combine like terms: -18f + 18f = 0 -36 + 36f = 36 + 0 -36 + 36f = 36 Add '36' to each side of the equation. -36 + 36 + 36f = 36 + 36 Combine like terms: -36 + 36 = 0 0 + 36f = 36 + 36 36f = 36 + 36 Combine like terms: 36 + 36 = 72 36f = 72 Divide each side by '36'. f = 2 Simplifying f = 2
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