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Simplifying 4(f + 6) = 16f Reorder the terms: 4(6 + f) = 16f (6 * 4 + f * 4) = 16f (24 + 4f) = 16f Solving 24 + 4f = 16f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-16f' to each side of the equation. 24 + 4f + -16f = 16f + -16f Combine like terms: 4f + -16f = -12f 24 + -12f = 16f + -16f Combine like terms: 16f + -16f = 0 24 + -12f = 0 Add '-24' to each side of the equation. 24 + -24 + -12f = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -12f = 0 + -24 -12f = 0 + -24 Combine like terms: 0 + -24 = -24 -12f = -24 Divide each side by '-12'. f = 2 Simplifying f = 2
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