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Simplifying -3(f + 4) + -2 = 2(f + 8) Reorder the terms: -3(4 + f) + -2 = 2(f + 8) (4 * -3 + f * -3) + -2 = 2(f + 8) (-12 + -3f) + -2 = 2(f + 8) Reorder the terms: -12 + -2 + -3f = 2(f + 8) Combine like terms: -12 + -2 = -14 -14 + -3f = 2(f + 8) Reorder the terms: -14 + -3f = 2(8 + f) -14 + -3f = (8 * 2 + f * 2) -14 + -3f = (16 + 2f) Solving -14 + -3f = 16 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. -14 + -3f + -2f = 16 + 2f + -2f Combine like terms: -3f + -2f = -5f -14 + -5f = 16 + 2f + -2f Combine like terms: 2f + -2f = 0 -14 + -5f = 16 + 0 -14 + -5f = 16 Add '14' to each side of the equation. -14 + 14 + -5f = 16 + 14 Combine like terms: -14 + 14 = 0 0 + -5f = 16 + 14 -5f = 16 + 14 Combine like terms: 16 + 14 = 30 -5f = 30 Divide each side by '-5'. f = -6 Simplifying f = -6
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