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Simplifying 0.5(f + h) = c + d + -3f (f * 0.5 + h * 0.5) = c + d + -3f (0.5f + 0.5h) = c + d + -3f Solving 0.5f + 0.5h = c + d + -3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '3f' to each side of the equation. 0.5f + 3f + 0.5h = c + d + -3f + 3f Combine like terms: 0.5f + 3f = 3.5f 3.5f + 0.5h = c + d + -3f + 3f Combine like terms: -3f + 3f = 0 3.5f + 0.5h = c + d + 0 3.5f + 0.5h = c + d Add '-0.5h' to each side of the equation. 3.5f + 0.5h + -0.5h = c + d + -0.5h Combine like terms: 0.5h + -0.5h = 0.0 3.5f + 0.0 = c + d + -0.5h 3.5f = c + d + -0.5h Divide each side by '3.5'. f = 0.2857142857c + 0.2857142857d + -0.1428571429h Simplifying f = 0.2857142857c + 0.2857142857d + -0.1428571429h
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