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Simplifying 15(f + -3) = 12f Reorder the terms: 15(-3 + f) = 12f (-3 * 15 + f * 15) = 12f (-45 + 15f) = 12f Solving -45 + 15f = 12f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12f' to each side of the equation. -45 + 15f + -12f = 12f + -12f Combine like terms: 15f + -12f = 3f -45 + 3f = 12f + -12f Combine like terms: 12f + -12f = 0 -45 + 3f = 0 Add '45' to each side of the equation. -45 + 45 + 3f = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 3f = 0 + 45 3f = 0 + 45 Combine like terms: 0 + 45 = 45 3f = 45 Divide each side by '3'. f = 15 Simplifying f = 15
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