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Simplifying -2f = 6 + 4 + -1(3f + -2) Reorder the terms: -2f = 6 + 4 + -1(-2 + 3f) -2f = 6 + 4 + (-2 * -1 + 3f * -1) -2f = 6 + 4 + (2 + -3f) Combine like terms: 6 + 4 = 10 -2f = 10 + 2 + -3f Combine like terms: 10 + 2 = 12 -2f = 12 + -3f Solving -2f = 12 + -3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '3f' to each side of the equation. -2f + 3f = 12 + -3f + 3f Combine like terms: -2f + 3f = 1f 1f = 12 + -3f + 3f Combine like terms: -3f + 3f = 0 1f = 12 + 0 1f = 12 Divide each side by '1'. f = 12 Simplifying f = 12
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