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Simplifying 4(h + f + m) + 3(c + f + l) = 0 Reorder the terms: 4(f + h + m) + 3(c + f + l) = 0 (f * 4 + h * 4 + m * 4) + 3(c + f + l) = 0 (4f + 4h + 4m) + 3(c + f + l) = 0 4f + 4h + 4m + (c * 3 + f * 3 + l * 3) = 0 4f + 4h + 4m + (3c + 3f + 3l) = 0 Reorder the terms: 3c + 4f + 3f + 4h + 3l + 4m = 0 Combine like terms: 4f + 3f = 7f 3c + 7f + 4h + 3l + 4m = 0 Solving 3c + 7f + 4h + 3l + 4m = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7f' to each side of the equation. 3c + 7f + 4h + 3l + -7f + 4m = 0 + -7f Reorder the terms: 3c + 7f + -7f + 4h + 3l + 4m = 0 + -7f Combine like terms: 7f + -7f = 0 3c + 0 + 4h + 3l + 4m = 0 + -7f 3c + 4h + 3l + 4m = 0 + -7f Remove the zero: 3c + 4h + 3l + 4m = -7f Add '-4h' to each side of the equation. 3c + 4h + 3l + -4h + 4m = -7f + -4h Reorder the terms: 3c + 4h + -4h + 3l + 4m = -7f + -4h Combine like terms: 4h + -4h = 0 3c + 0 + 3l + 4m = -7f + -4h 3c + 3l + 4m = -7f + -4h Add '-3l' to each side of the equation. 3c + 3l + -3l + 4m = -7f + -4h + -3l Combine like terms: 3l + -3l = 0 3c + 0 + 4m = -7f + -4h + -3l 3c + 4m = -7f + -4h + -3l Add '-4m' to each side of the equation. 3c + 4m + -4m = -7f + -4h + -3l + -4m Combine like terms: 4m + -4m = 0 3c + 0 = -7f + -4h + -3l + -4m 3c = -7f + -4h + -3l + -4m Divide each side by '3'. c = -2.333333333f + -1.333333333h + -1l + -1.333333333m Simplifying c = -2.333333333f + -1.333333333h + -1l + -1.333333333m
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