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Simplifying -2f + 6 = a + -1(3f + -2) Reorder the terms: 6 + -2f = a + -1(3f + -2) Reorder the terms: 6 + -2f = a + -1(-2 + 3f) 6 + -2f = a + (-2 * -1 + 3f * -1) 6 + -2f = a + (2 + -3f) Reorder the terms: 6 + -2f = 2 + a + -3f Solving 6 + -2f = 2 + a + -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. 6 + -2f + 3f = 2 + a + -3f + 3f Combine like terms: -2f + 3f = 1f 6 + 1f = 2 + a + -3f + 3f Combine like terms: -3f + 3f = 0 6 + 1f = 2 + a + 0 6 + 1f = 2 + a Add '-6' to each side of the equation. 6 + -6 + 1f = 2 + -6 + a Combine like terms: 6 + -6 = 0 0 + 1f = 2 + -6 + a 1f = 2 + -6 + a Combine like terms: 2 + -6 = -4 1f = -4 + a Divide each side by '1'. f = -4 + a Simplifying f = -4 + a
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