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Simplifying -2f + -6 = 4 + -1(3f + -2) Reorder the terms: -6 + -2f = 4 + -1(3f + -2) Reorder the terms: -6 + -2f = 4 + -1(-2 + 3f) -6 + -2f = 4 + (-2 * -1 + 3f * -1) -6 + -2f = 4 + (2 + -3f) Combine like terms: 4 + 2 = 6 -6 + -2f = 6 + -3f Solving -6 + -2f = 6 + -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 = 6 + -3f + 3f Combine like terms: -2f + 3f = 1f -6 + 1f = 6 + -3f + 3f Combine like terms: -3f + 3f = 0 -6 + 1f = 6 + 0 -6 + 1f = 6 Add '6' to each side of the equation. -6 + 6 + 1f = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1f = 6 + 6 1f = 6 + 6 Combine like terms: 6 + 6 = 12 1f = 12 Divide each side by '1'. f = 12 Simplifying f = 12
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