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Simplifying 6g + 2(-8 + 5g) = 1 + -1g 6g + (-8 * 2 + 5g * 2) = 1 + -1g 6g + (-16 + 10g) = 1 + -1g Reorder the terms: -16 + 6g + 10g = 1 + -1g Combine like terms: 6g + 10g = 16g -16 + 16g = 1 + -1g Solving -16 + 16g = 1 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -16 + 16g + g = 1 + -1g + g Combine like terms: 16g + g = 17g -16 + 17g = 1 + -1g + g Combine like terms: -1g + g = 0 -16 + 17g = 1 + 0 -16 + 17g = 1 Add '16' to each side of the equation. -16 + 16 + 17g = 1 + 16 Combine like terms: -16 + 16 = 0 0 + 17g = 1 + 16 17g = 1 + 16 Combine like terms: 1 + 16 = 17 17g = 17 Divide each side by '17'. g = 1 Simplifying g = 1
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