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Simplifying 3(f + 3) + -2(f + -6) = 12 Reorder the terms: 3(3 + f) + -2(f + -6) = 12 (3 * 3 + f * 3) + -2(f + -6) = 12 (9 + 3f) + -2(f + -6) = 12 Reorder the terms: 9 + 3f + -2(-6 + f) = 12 9 + 3f + (-6 * -2 + f * -2) = 12 9 + 3f + (12 + -2f) = 12 Reorder the terms: 9 + 12 + 3f + -2f = 12 Combine like terms: 9 + 12 = 21 21 + 3f + -2f = 12 Combine like terms: 3f + -2f = 1f 21 + 1f = 12 Solving 21 + 1f = 12 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 1f = 12 + -21 Combine like terms: 21 + -21 = 0 0 + 1f = 12 + -21 1f = 12 + -21 Combine like terms: 12 + -21 = -9 1f = -9 Divide each side by '1'. f = -9 Simplifying f = -9
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