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Simplifying -3f + 4s + 1s + -8g + 1m + -3m = 0 Reorder the terms: -3f + -8g + 1m + -3m + 4s + 1s = 0 Combine like terms: 1m + -3m = -2m -3f + -8g + -2m + 4s + 1s = 0 Combine like terms: 4s + 1s = 5s -3f + -8g + -2m + 5s = 0 Solving -3f + -8g + -2m + 5s = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '8g' to each side of the equation. -3f + -8g + -2m + 8g + 5s = 0 + 8g Reorder the terms: -3f + -8g + 8g + -2m + 5s = 0 + 8g Combine like terms: -8g + 8g = 0 -3f + 0 + -2m + 5s = 0 + 8g -3f + -2m + 5s = 0 + 8g Remove the zero: -3f + -2m + 5s = 8g Add '2m' to each side of the equation. -3f + -2m + 2m + 5s = 8g + 2m Combine like terms: -2m + 2m = 0 -3f + 0 + 5s = 8g + 2m -3f + 5s = 8g + 2m Add '-5s' to each side of the equation. -3f + 5s + -5s = 8g + 2m + -5s Combine like terms: 5s + -5s = 0 -3f + 0 = 8g + 2m + -5s -3f = 8g + 2m + -5s Divide each side by '-3'. f = -2.666666667g + -0.6666666667m + 1.666666667s Simplifying f = -2.666666667g + -0.6666666667m + 1.666666667s
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