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Simplifying 9f + 35 = 7(f + 5) + 12f Reorder the terms: 35 + 9f = 7(f + 5) + 12f Reorder the terms: 35 + 9f = 7(5 + f) + 12f 35 + 9f = (5 * 7 + f * 7) + 12f 35 + 9f = (35 + 7f) + 12f Combine like terms: 7f + 12f = 19f 35 + 9f = 35 + 19f Add '-35' to each side of the equation. 35 + -35 + 9f = 35 + -35 + 19f Combine like terms: 35 + -35 = 0 0 + 9f = 35 + -35 + 19f 9f = 35 + -35 + 19f Combine like terms: 35 + -35 = 0 9f = 0 + 19f 9f = 19f Solving 9f = 19f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-19f' to each side of the equation. 9f + -19f = 19f + -19f Combine like terms: 9f + -19f = -10f -10f = 19f + -19f Combine like terms: 19f + -19f = 0 -10f = 0 Divide each side by '-10'. f = 0.0 Simplifying f = 0.0
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