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Simplifying 2(f + -3) + -4f = 6 + -6f Reorder the terms: 2(-3 + f) + -4f = 6 + -6f (-3 * 2 + f * 2) + -4f = 6 + -6f (-6 + 2f) + -4f = 6 + -6f Combine like terms: 2f + -4f = -2f -6 + -2f = 6 + -6f Solving -6 + -2f = 6 + -6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '6f' to each side of the equation. -6 + -2f + 6f = 6 + -6f + 6f Combine like terms: -2f + 6f = 4f -6 + 4f = 6 + -6f + 6f Combine like terms: -6f + 6f = 0 -6 + 4f = 6 + 0 -6 + 4f = 6 Add '6' to each side of the equation. -6 + 6 + 4f = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 4f = 6 + 6 4f = 6 + 6 Combine like terms: 6 + 6 = 12 4f = 12 Divide each side by '4'. f = 3 Simplifying f = 3
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