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Simplifying 2(2f + 4) = 2(3f + -6) Reorder the terms: 2(4 + 2f) = 2(3f + -6) (4 * 2 + 2f * 2) = 2(3f + -6) (8 + 4f) = 2(3f + -6) Reorder the terms: 8 + 4f = 2(-6 + 3f) 8 + 4f = (-6 * 2 + 3f * 2) 8 + 4f = (-12 + 6f) Solving 8 + 4f = -12 + 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. 8 + 4f + -6f = -12 + 6f + -6f Combine like terms: 4f + -6f = -2f 8 + -2f = -12 + 6f + -6f Combine like terms: 6f + -6f = 0 8 + -2f = -12 + 0 8 + -2f = -12 Add '-8' to each side of the equation. 8 + -8 + -2f = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -2f = -12 + -8 -2f = -12 + -8 Combine like terms: -12 + -8 = -20 -2f = -20 Divide each side by '-2'. f = 10 Simplifying f = 10
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