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Simplifying 3(f + -5) = 6f + -12 + 3f Reorder the terms: 3(-5 + f) = 6f + -12 + 3f (-5 * 3 + f * 3) = 6f + -12 + 3f (-15 + 3f) = 6f + -12 + 3f Reorder the terms: -15 + 3f = -12 + 6f + 3f Combine like terms: 6f + 3f = 9f -15 + 3f = -12 + 9f Solving -15 + 3f = -12 + 9f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9f' to each side of the equation. -15 + 3f + -9f = -12 + 9f + -9f Combine like terms: 3f + -9f = -6f -15 + -6f = -12 + 9f + -9f Combine like terms: 9f + -9f = 0 -15 + -6f = -12 + 0 -15 + -6f = -12 Add '15' to each side of the equation. -15 + 15 + -6f = -12 + 15 Combine like terms: -15 + 15 = 0 0 + -6f = -12 + 15 -6f = -12 + 15 Combine like terms: -12 + 15 = 3 -6f = 3 Divide each side by '-6'. f = -0.5 Simplifying f = -0.5
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