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Simplifying -2f + 6 = 7 + -1(3f + -2) Reorder the terms: 6 + -2f = 7 + -1(3f + -2) Reorder the terms: 6 + -2f = 7 + -1(-2 + 3f) 6 + -2f = 7 + (-2 * -1 + 3f * -1) 6 + -2f = 7 + (2 + -3f) Combine like terms: 7 + 2 = 9 6 + -2f = 9 + -3f Solving 6 + -2f = 9 + -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 = 9 + -3f + 3f Combine like terms: -2f + 3f = 1f 6 + 1f = 9 + -3f + 3f Combine like terms: -3f + 3f = 0 6 + 1f = 9 + 0 6 + 1f = 9 Add '-6' to each side of the equation. 6 + -6 + 1f = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 1f = 9 + -6 1f = 9 + -6 Combine like terms: 9 + -6 = 3 1f = 3 Divide each side by '1'. f = 3 Simplifying f = 3
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