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Simplifying 2(3f + 3) = 9(f + -2) Reorder the terms: 2(3 + 3f) = 9(f + -2) (3 * 2 + 3f * 2) = 9(f + -2) (6 + 6f) = 9(f + -2) Reorder the terms: 6 + 6f = 9(-2 + f) 6 + 6f = (-2 * 9 + f * 9) 6 + 6f = (-18 + 9f) Solving 6 + 6f = -18 + 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. 6 + 6f + -9f = -18 + 9f + -9f Combine like terms: 6f + -9f = -3f 6 + -3f = -18 + 9f + -9f Combine like terms: 9f + -9f = 0 6 + -3f = -18 + 0 6 + -3f = -18 Add '-6' to each side of the equation. 6 + -6 + -3f = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -3f = -18 + -6 -3f = -18 + -6 Combine like terms: -18 + -6 = -24 -3f = -24 Divide each side by '-3'. f = 8 Simplifying f = 8
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