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Simplifying -6(-16 + f) = 2(-12 + 12f) (-16 * -6 + f * -6) = 2(-12 + 12f) (96 + -6f) = 2(-12 + 12f) 96 + -6f = (-12 * 2 + 12f * 2) 96 + -6f = (-24 + 24f) Solving 96 + -6f = -24 + 24f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-24f' to each side of the equation. 96 + -6f + -24f = -24 + 24f + -24f Combine like terms: -6f + -24f = -30f 96 + -30f = -24 + 24f + -24f Combine like terms: 24f + -24f = 0 96 + -30f = -24 + 0 96 + -30f = -24 Add '-96' to each side of the equation. 96 + -96 + -30f = -24 + -96 Combine like terms: 96 + -96 = 0 0 + -30f = -24 + -96 -30f = -24 + -96 Combine like terms: -24 + -96 = -120 -30f = -120 Divide each side by '-30'. f = 4 Simplifying f = 4
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