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Simplifying (2c + s) + 4h + 4(h + f + m) + -3(h + s) = 0 Remove parenthesis around (2c + s) 2c + s + 4h + 4(h + f + m) + -3(h + s) = 0 Reorder the terms: 2c + s + 4h + 4(f + h + m) + -3(h + s) = 0 2c + s + 4h + (f * 4 + h * 4 + m * 4) + -3(h + s) = 0 2c + s + 4h + (4f + 4h + 4m) + -3(h + s) = 0 2c + s + 4h + 4f + 4h + 4m + (h * -3 + s * -3) = 0 2c + s + 4h + 4f + 4h + 4m + (-3h + -3s) = 0 Reorder the terms: 2c + 4f + 4h + 4h + -3h + 4m + s + -3s = 0 Combine like terms: 4h + 4h = 8h 2c + 4f + 8h + -3h + 4m + s + -3s = 0 Combine like terms: 8h + -3h = 5h 2c + 4f + 5h + 4m + s + -3s = 0 Combine like terms: s + -3s = -2s 2c + 4f + 5h + 4m + -2s = 0 Solving 2c + 4f + 5h + 4m + -2s = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4f' to each side of the equation. 2c + 4f + 5h + 4m + -4f + -2s = 0 + -4f Reorder the terms: 2c + 4f + -4f + 5h + 4m + -2s = 0 + -4f Combine like terms: 4f + -4f = 0 2c + 0 + 5h + 4m + -2s = 0 + -4f 2c + 5h + 4m + -2s = 0 + -4f Remove the zero: 2c + 5h + 4m + -2s = -4f Add '-5h' to each side of the equation. 2c + 5h + 4m + -5h + -2s = -4f + -5h Reorder the terms: 2c + 5h + -5h + 4m + -2s = -4f + -5h Combine like terms: 5h + -5h = 0 2c + 0 + 4m + -2s = -4f + -5h 2c + 4m + -2s = -4f + -5h Add '-4m' to each side of the equation. 2c + 4m + -4m + -2s = -4f + -5h + -4m Combine like terms: 4m + -4m = 0 2c + 0 + -2s = -4f + -5h + -4m 2c + -2s = -4f + -5h + -4m Add '2s' to each side of the equation. 2c + -2s + 2s = -4f + -5h + -4m + 2s Combine like terms: -2s + 2s = 0 2c + 0 = -4f + -5h + -4m + 2s 2c = -4f + -5h + -4m + 2s Divide each side by '2'. c = -2f + -2.5h + -2m + s Simplifying c = -2f + -2.5h + -2m + s
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