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Simplifying -3f + 2 = 3(f + -2) + -8f Reorder the terms: 2 + -3f = 3(f + -2) + -8f Reorder the terms: 2 + -3f = 3(-2 + f) + -8f 2 + -3f = (-2 * 3 + f * 3) + -8f 2 + -3f = (-6 + 3f) + -8f Combine like terms: 3f + -8f = -5f 2 + -3f = -6 + -5f Solving 2 + -3f = -6 + -5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '5f' to each side of the equation. 2 + -3f + 5f = -6 + -5f + 5f Combine like terms: -3f + 5f = 2f 2 + 2f = -6 + -5f + 5f Combine like terms: -5f + 5f = 0 2 + 2f = -6 + 0 2 + 2f = -6 Add '-2' to each side of the equation. 2 + -2 + 2f = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 2f = -6 + -2 2f = -6 + -2 Combine like terms: -6 + -2 = -8 2f = -8 Divide each side by '2'. f = -4 Simplifying f = -4
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