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Simplifying G(8) + -1g(-12) = 30 + -1(-2) Reorder the terms for easier multiplication: 8G + -1g(-12) = 30 + -1(-2) Reorder the terms for easier multiplication: 8G + -1 * -12g = 30 + -1(-2) Multiply -1 * -12 8G + 12g = 30 + -1(-2) Multiply -1 * -2 8G + 12g = 30 + 2 Combine like terms: 30 + 2 = 32 8G + 12g = 32 Solving 8G + 12g = 32 Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '-12g' to each side of the equation. 8G + 12g + -12g = 32 + -12g Combine like terms: 12g + -12g = 0 8G + 0 = 32 + -12g 8G = 32 + -12g Divide each side by '8'. G = 4 + -1.5g Simplifying G = 4 + -1.5g
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