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Simplifying 2(f + -4) + 8 = 3f + -8 Reorder the terms: 2(-4 + f) + 8 = 3f + -8 (-4 * 2 + f * 2) + 8 = 3f + -8 (-8 + 2f) + 8 = 3f + -8 Reorder the terms: -8 + 8 + 2f = 3f + -8 Combine like terms: -8 + 8 = 0 0 + 2f = 3f + -8 2f = 3f + -8 Reorder the terms: 2f = -8 + 3f Solving 2f = -8 + 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. 2f + -3f = -8 + 3f + -3f Combine like terms: 2f + -3f = -1f -1f = -8 + 3f + -3f Combine like terms: 3f + -3f = 0 -1f = -8 + 0 -1f = -8 Divide each side by '-1'. f = 8 Simplifying f = 8
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