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Simplifying 3(3f + 1) = 7(2f + 9) Reorder the terms: 3(1 + 3f) = 7(2f + 9) (1 * 3 + 3f * 3) = 7(2f + 9) (3 + 9f) = 7(2f + 9) Reorder the terms: 3 + 9f = 7(9 + 2f) 3 + 9f = (9 * 7 + 2f * 7) 3 + 9f = (63 + 14f) Solving 3 + 9f = 63 + 14f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-14f' to each side of the equation. 3 + 9f + -14f = 63 + 14f + -14f Combine like terms: 9f + -14f = -5f 3 + -5f = 63 + 14f + -14f Combine like terms: 14f + -14f = 0 3 + -5f = 63 + 0 3 + -5f = 63 Add '-3' to each side of the equation. 3 + -3 + -5f = 63 + -3 Combine like terms: 3 + -3 = 0 0 + -5f = 63 + -3 -5f = 63 + -3 Combine like terms: 63 + -3 = 60 -5f = 60 Divide each side by '-5'. f = -12 Simplifying f = -12
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