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Simplifying 4g + 2g + 3z + 5z + 5 + (-3) = 0 4g + 2g + 3z + 5z + 5 + -3 = 0 Reorder the terms: 5 + -3 + 4g + 2g + 3z + 5z = 0 Combine like terms: 5 + -3 = 2 2 + 4g + 2g + 3z + 5z = 0 Combine like terms: 4g + 2g = 6g 2 + 6g + 3z + 5z = 0 Combine like terms: 3z + 5z = 8z 2 + 6g + 8z = 0 Solving 2 + 6g + 8z = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 6g + -2 + 8z = 0 + -2 Reorder the terms: 2 + -2 + 6g + 8z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6g + 8z = 0 + -2 6g + 8z = 0 + -2 Combine like terms: 0 + -2 = -2 6g + 8z = -2 Add '-8z' to each side of the equation. 6g + 8z + -8z = -2 + -8z Combine like terms: 8z + -8z = 0 6g + 0 = -2 + -8z 6g = -2 + -8z Divide each side by '6'. g = -0.3333333333 + -1.333333333z Simplifying g = -0.3333333333 + -1.333333333z
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