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Simplifying 6(2 + g) + 2(5g + -7) = 30 (2 * 6 + g * 6) + 2(5g + -7) = 30 (12 + 6g) + 2(5g + -7) = 30 Reorder the terms: 12 + 6g + 2(-7 + 5g) = 30 12 + 6g + (-7 * 2 + 5g * 2) = 30 12 + 6g + (-14 + 10g) = 30 Reorder the terms: 12 + -14 + 6g + 10g = 30 Combine like terms: 12 + -14 = -2 -2 + 6g + 10g = 30 Combine like terms: 6g + 10g = 16g -2 + 16g = 30 Solving -2 + 16g = 30 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 + 2 + 16g = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 16g = 30 + 2 16g = 30 + 2 Combine like terms: 30 + 2 = 32 16g = 32 Divide each side by '16'. g = 2 Simplifying g = 2
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