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Simplifying 8(f + 2) + 5(f + 5) = 0 Reorder the terms: 8(2 + f) + 5(f + 5) = 0 (2 * 8 + f * 8) + 5(f + 5) = 0 (16 + 8f) + 5(f + 5) = 0 Reorder the terms: 16 + 8f + 5(5 + f) = 0 16 + 8f + (5 * 5 + f * 5) = 0 16 + 8f + (25 + 5f) = 0 Reorder the terms: 16 + 25 + 8f + 5f = 0 Combine like terms: 16 + 25 = 41 41 + 8f + 5f = 0 Combine like terms: 8f + 5f = 13f 41 + 13f = 0 Solving 41 + 13f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 13f = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 13f = 0 + -41 13f = 0 + -41 Combine like terms: 0 + -41 = -41 13f = -41 Divide each side by '13'. f = -3.153846154 Simplifying f = -3.153846154
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