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Simplifying 8e + -1(e + f) + -3(g + 2) = 0 8e + (e * -1 + f * -1) + -3(g + 2) = 0 8e + (-1e + -1f) + -3(g + 2) = 0 Reorder the terms: 8e + -1e + -1f + -3(2 + g) = 0 8e + -1e + -1f + (2 * -3 + g * -3) = 0 8e + -1e + -1f + (-6 + -3g) = 0 Reorder the terms: -6 + 8e + -1e + -1f + -3g = 0 Combine like terms: 8e + -1e = 7e -6 + 7e + -1f + -3g = 0 Solving -6 + 7e + -1f + -3g = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 7e + -1f + 6 + -3g = 0 + 6 Reorder the terms: -6 + 6 + 7e + -1f + -3g = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7e + -1f + -3g = 0 + 6 7e + -1f + -3g = 0 + 6 Combine like terms: 0 + 6 = 6 7e + -1f + -3g = 6 Add 'f' to each side of the equation. 7e + -1f + f + -3g = 6 + f Combine like terms: -1f + f = 0 7e + 0 + -3g = 6 + f 7e + -3g = 6 + f Add '3g' to each side of the equation. 7e + -3g + 3g = 6 + f + 3g Combine like terms: -3g + 3g = 0 7e + 0 = 6 + f + 3g 7e = 6 + f + 3g Divide each side by '7'. e = 0.8571428571 + 0.1428571429f + 0.4285714286g Simplifying e = 0.8571428571 + 0.1428571429f + 0.4285714286g
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