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Simplifying 3(f + 1) = -4(-1f + 2) Reorder the terms: 3(1 + f) = -4(-1f + 2) (1 * 3 + f * 3) = -4(-1f + 2) (3 + 3f) = -4(-1f + 2) Reorder the terms: 3 + 3f = -4(2 + -1f) 3 + 3f = (2 * -4 + -1f * -4) 3 + 3f = (-8 + 4f) Solving 3 + 3f = -8 + 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. 3 + 3f + -4f = -8 + 4f + -4f Combine like terms: 3f + -4f = -1f 3 + -1f = -8 + 4f + -4f Combine like terms: 4f + -4f = 0 3 + -1f = -8 + 0 3 + -1f = -8 Add '-3' to each side of the equation. 3 + -3 + -1f = -8 + -3 Combine like terms: 3 + -3 = 0 0 + -1f = -8 + -3 -1f = -8 + -3 Combine like terms: -8 + -3 = -11 -1f = -11 Divide each side by '-1'. f = 11 Simplifying f = 11
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