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Simplifying 4(2f + 5) + -2(f + 9) = 0 Reorder the terms: 4(5 + 2f) + -2(f + 9) = 0 (5 * 4 + 2f * 4) + -2(f + 9) = 0 (20 + 8f) + -2(f + 9) = 0 Reorder the terms: 20 + 8f + -2(9 + f) = 0 20 + 8f + (9 * -2 + f * -2) = 0 20 + 8f + (-18 + -2f) = 0 Reorder the terms: 20 + -18 + 8f + -2f = 0 Combine like terms: 20 + -18 = 2 2 + 8f + -2f = 0 Combine like terms: 8f + -2f = 6f 2 + 6f = 0 Solving 2 + 6f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6f = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6f = 0 + -2 6f = 0 + -2 Combine like terms: 0 + -2 = -2 6f = -2 Divide each side by '6'. f = -0.3333333333 Simplifying f = -0.3333333333
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