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Simplifying 6(2f + -5) = 4f + 2 Reorder the terms: 6(-5 + 2f) = 4f + 2 (-5 * 6 + 2f * 6) = 4f + 2 (-30 + 12f) = 4f + 2 Reorder the terms: -30 + 12f = 2 + 4f Solving -30 + 12f = 2 + 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. -30 + 12f + -4f = 2 + 4f + -4f Combine like terms: 12f + -4f = 8f -30 + 8f = 2 + 4f + -4f Combine like terms: 4f + -4f = 0 -30 + 8f = 2 + 0 -30 + 8f = 2 Add '30' to each side of the equation. -30 + 30 + 8f = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 8f = 2 + 30 8f = 2 + 30 Combine like terms: 2 + 30 = 32 8f = 32 Divide each side by '8'. f = 4 Simplifying f = 4
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