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Simplifying 3g + -6 + 2g + 1 = 7g + 8k Reorder the terms: -6 + 1 + 3g + 2g = 7g + 8k Combine like terms: -6 + 1 = -5 -5 + 3g + 2g = 7g + 8k Combine like terms: 3g + 2g = 5g -5 + 5g = 7g + 8k Solving -5 + 5g = 7g + 8k Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7g' to each side of the equation. -5 + 5g + -7g = 7g + -7g + 8k Combine like terms: 5g + -7g = -2g -5 + -2g = 7g + -7g + 8k Combine like terms: 7g + -7g = 0 -5 + -2g = 0 + 8k -5 + -2g = 8k Add '5' to each side of the equation. -5 + 5 + -2g = 5 + 8k Combine like terms: -5 + 5 = 0 0 + -2g = 5 + 8k -2g = 5 + 8k Divide each side by '-2'. g = -2.5 + -4k Simplifying g = -2.5 + -4k
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