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Simplifying 4g + -6 + -1g = 12 + -5g + 30 Reorder the terms: -6 + 4g + -1g = 12 + -5g + 30 Combine like terms: 4g + -1g = 3g -6 + 3g = 12 + -5g + 30 Reorder the terms: -6 + 3g = 12 + 30 + -5g Combine like terms: 12 + 30 = 42 -6 + 3g = 42 + -5g Solving -6 + 3g = 42 + -5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5g' to each side of the equation. -6 + 3g + 5g = 42 + -5g + 5g Combine like terms: 3g + 5g = 8g -6 + 8g = 42 + -5g + 5g Combine like terms: -5g + 5g = 0 -6 + 8g = 42 + 0 -6 + 8g = 42 Add '6' to each side of the equation. -6 + 6 + 8g = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 8g = 42 + 6 8g = 42 + 6 Combine like terms: 42 + 6 = 48 8g = 48 Divide each side by '8'. g = 6 Simplifying g = 6
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