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Simplifying 5h + 6m + 3l + f + (h + f) + -2m = 0 Reorder the terms: 5h + 6m + 3l + f + (f + h) + -2m = 0 Remove parenthesis around (f + h) 5h + 6m + 3l + f + f + h + -2m = 0 Reorder the terms: f + f + 5h + h + 3l + 6m + -2m = 0 Combine like terms: f + f = 2f 2f + 5h + h + 3l + 6m + -2m = 0 Combine like terms: 5h + h = 6h 2f + 6h + 3l + 6m + -2m = 0 Combine like terms: 6m + -2m = 4m 2f + 6h + 3l + 4m = 0 Solving 2f + 6h + 3l + 4m = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6h' to each side of the equation. 2f + 6h + 3l + -6h + 4m = 0 + -6h Reorder the terms: 2f + 6h + -6h + 3l + 4m = 0 + -6h Combine like terms: 6h + -6h = 0 2f + 0 + 3l + 4m = 0 + -6h 2f + 3l + 4m = 0 + -6h Remove the zero: 2f + 3l + 4m = -6h Add '-3l' to each side of the equation. 2f + 3l + -3l + 4m = -6h + -3l Combine like terms: 3l + -3l = 0 2f + 0 + 4m = -6h + -3l 2f + 4m = -6h + -3l Add '-4m' to each side of the equation. 2f + 4m + -4m = -6h + -3l + -4m Combine like terms: 4m + -4m = 0 2f + 0 = -6h + -3l + -4m 2f = -6h + -3l + -4m Divide each side by '2'. f = -3h + -1.5l + -2m Simplifying f = -3h + -1.5l + -2m
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