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Simplifying 7(7 + 5f) + (f + 6) * 10 = 0 (7 * 7 + 5f * 7) + (f + 6) * 10 = 0 (49 + 35f) + (f + 6) * 10 = 0 Reorder the terms: 49 + 35f + (6 + f) * 10 = 0 Reorder the terms for easier multiplication: 49 + 35f + 10(6 + f) = 0 49 + 35f + (6 * 10 + f * 10) = 0 49 + 35f + (60 + 10f) = 0 Reorder the terms: 49 + 60 + 35f + 10f = 0 Combine like terms: 49 + 60 = 109 109 + 35f + 10f = 0 Combine like terms: 35f + 10f = 45f 109 + 45f = 0 Solving 109 + 45f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-109' to each side of the equation. 109 + -109 + 45f = 0 + -109 Combine like terms: 109 + -109 = 0 0 + 45f = 0 + -109 45f = 0 + -109 Combine like terms: 0 + -109 = -109 45f = -109 Divide each side by '45'. f = -2.422222222 Simplifying f = -2.422222222
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