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Simplifying 8G + 4F = 32 + -2(F + G) Reorder the terms: 4F + 8G = 32 + -2(F + G) 4F + 8G = 32 + (F * -2 + G * -2) 4F + 8G = 32 + (-2F + -2G) Solving 4F + 8G = 32 + -2F + -2G Solving for variable 'F'. Move all terms containing F to the left, all other terms to the right. Add '2F' to each side of the equation. 4F + 2F + 8G = 32 + -2F + 2F + -2G Combine like terms: 4F + 2F = 6F 6F + 8G = 32 + -2F + 2F + -2G Combine like terms: -2F + 2F = 0 6F + 8G = 32 + 0 + -2G 6F + 8G = 32 + -2G Add '-8G' to each side of the equation. 6F + 8G + -8G = 32 + -2G + -8G Combine like terms: 8G + -8G = 0 6F + 0 = 32 + -2G + -8G 6F = 32 + -2G + -8G Combine like terms: -2G + -8G = -10G 6F = 32 + -10G Divide each side by '6'. F = 5.333333333 + -1.666666667G Simplifying F = 5.333333333 + -1.666666667G
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