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Simplifying 2(6f + 7) + 3f = 7(2f + 11) + -3(6f + 6) Reorder the terms: 2(7 + 6f) + 3f = 7(2f + 11) + -3(6f + 6) (7 * 2 + 6f * 2) + 3f = 7(2f + 11) + -3(6f + 6) (14 + 12f) + 3f = 7(2f + 11) + -3(6f + 6) Combine like terms: 12f + 3f = 15f 14 + 15f = 7(2f + 11) + -3(6f + 6) Reorder the terms: 14 + 15f = 7(11 + 2f) + -3(6f + 6) 14 + 15f = (11 * 7 + 2f * 7) + -3(6f + 6) 14 + 15f = (77 + 14f) + -3(6f + 6) Reorder the terms: 14 + 15f = 77 + 14f + -3(6 + 6f) 14 + 15f = 77 + 14f + (6 * -3 + 6f * -3) 14 + 15f = 77 + 14f + (-18 + -18f) Reorder the terms: 14 + 15f = 77 + -18 + 14f + -18f Combine like terms: 77 + -18 = 59 14 + 15f = 59 + 14f + -18f Combine like terms: 14f + -18f = -4f 14 + 15f = 59 + -4f Solving 14 + 15f = 59 + -4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '4f' to each side of the equation. 14 + 15f + 4f = 59 + -4f + 4f Combine like terms: 15f + 4f = 19f 14 + 19f = 59 + -4f + 4f Combine like terms: -4f + 4f = 0 14 + 19f = 59 + 0 14 + 19f = 59 Add '-14' to each side of the equation. 14 + -14 + 19f = 59 + -14 Combine like terms: 14 + -14 = 0 0 + 19f = 59 + -14 19f = 59 + -14 Combine like terms: 59 + -14 = 45 19f = 45 Divide each side by '19'. f = 2.368421053 Simplifying f = 2.368421053
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