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Simplifying 8(3f + 4) + -9f = 7(3f + 2) + 10 Reorder the terms: 8(4 + 3f) + -9f = 7(3f + 2) + 10 (4 * 8 + 3f * 8) + -9f = 7(3f + 2) + 10 (32 + 24f) + -9f = 7(3f + 2) + 10 Combine like terms: 24f + -9f = 15f 32 + 15f = 7(3f + 2) + 10 Reorder the terms: 32 + 15f = 7(2 + 3f) + 10 32 + 15f = (2 * 7 + 3f * 7) + 10 32 + 15f = (14 + 21f) + 10 Reorder the terms: 32 + 15f = 14 + 10 + 21f Combine like terms: 14 + 10 = 24 32 + 15f = 24 + 21f Solving 32 + 15f = 24 + 21f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-21f' to each side of the equation. 32 + 15f + -21f = 24 + 21f + -21f Combine like terms: 15f + -21f = -6f 32 + -6f = 24 + 21f + -21f Combine like terms: 21f + -21f = 0 32 + -6f = 24 + 0 32 + -6f = 24 Add '-32' to each side of the equation. 32 + -32 + -6f = 24 + -32 Combine like terms: 32 + -32 = 0 0 + -6f = 24 + -32 -6f = 24 + -32 Combine like terms: 24 + -32 = -8 -6f = -8 Divide each side by '-6'. f = 1.333333333 Simplifying f = 1.333333333
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