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Simplifying 3(f + 1) = 6f + -12 Reorder the terms: 3(1 + f) = 6f + -12 (1 * 3 + f * 3) = 6f + -12 (3 + 3f) = 6f + -12 Reorder the terms: 3 + 3f = -12 + 6f Solving 3 + 3f = -12 + 6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6f' to each side of the equation. 3 + 3f + -6f = -12 + 6f + -6f Combine like terms: 3f + -6f = -3f 3 + -3f = -12 + 6f + -6f Combine like terms: 6f + -6f = 0 3 + -3f = -12 + 0 3 + -3f = -12 Add '-3' to each side of the equation. 3 + -3 + -3f = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -3f = -12 + -3 -3f = -12 + -3 Combine like terms: -12 + -3 = -15 -3f = -15 Divide each side by '-3'. f = 5 Simplifying f = 5
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