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Simplifying 8(2f + -2) = 2(3f + 2) Reorder the terms: 8(-2 + 2f) = 2(3f + 2) (-2 * 8 + 2f * 8) = 2(3f + 2) (-16 + 16f) = 2(3f + 2) Reorder the terms: -16 + 16f = 2(2 + 3f) -16 + 16f = (2 * 2 + 3f * 2) -16 + 16f = (4 + 6f) Solving -16 + 16f = 4 + 6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6f' to each side of the equation. -16 + 16f + -6f = 4 + 6f + -6f Combine like terms: 16f + -6f = 10f -16 + 10f = 4 + 6f + -6f Combine like terms: 6f + -6f = 0 -16 + 10f = 4 + 0 -16 + 10f = 4 Add '16' to each side of the equation. -16 + 16 + 10f = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 10f = 4 + 16 10f = 4 + 16 Combine like terms: 4 + 16 = 20 10f = 20 Divide each side by '10'. f = 2 Simplifying f = 2
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