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Simplifying 5g + 2(-6 + 2g) = 2(1 + g) 5g + (-6 * 2 + 2g * 2) = 2(1 + g) 5g + (-12 + 4g) = 2(1 + g) Reorder the terms: -12 + 5g + 4g = 2(1 + g) Combine like terms: 5g + 4g = 9g -12 + 9g = 2(1 + g) -12 + 9g = (1 * 2 + g * 2) -12 + 9g = (2 + 2g) Solving -12 + 9g = 2 + 2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g' to each side of the equation. -12 + 9g + -2g = 2 + 2g + -2g Combine like terms: 9g + -2g = 7g -12 + 7g = 2 + 2g + -2g Combine like terms: 2g + -2g = 0 -12 + 7g = 2 + 0 -12 + 7g = 2 Add '12' to each side of the equation. -12 + 12 + 7g = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7g = 2 + 12 7g = 2 + 12 Combine like terms: 2 + 12 = 14 7g = 14 Divide each side by '7'. g = 2 Simplifying g = 2
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