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Simplifying -2f + 6 = 4 + -1(3f + -1) Reorder the terms: 6 + -2f = 4 + -1(3f + -1) Reorder the terms: 6 + -2f = 4 + -1(-1 + 3f) 6 + -2f = 4 + (-1 * -1 + 3f * -1) 6 + -2f = 4 + (1 + -3f) Combine like terms: 4 + 1 = 5 6 + -2f = 5 + -3f Solving 6 + -2f = 5 + -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 = 5 + -3f + 3f Combine like terms: -2f + 3f = 1f 6 + 1f = 5 + -3f + 3f Combine like terms: -3f + 3f = 0 6 + 1f = 5 + 0 6 + 1f = 5 Add '-6' to each side of the equation. 6 + -6 + 1f = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 1f = 5 + -6 1f = 5 + -6 Combine like terms: 5 + -6 = -1 1f = -1 Divide each side by '1'. f = -1 Simplifying f = -1
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