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Simplifying 6g + 3(-5 + 3g) = 1 + -1g 6g + (-5 * 3 + 3g * 3) = 1 + -1g 6g + (-15 + 9g) = 1 + -1g Reorder the terms: -15 + 6g + 9g = 1 + -1g Combine like terms: 6g + 9g = 15g -15 + 15g = 1 + -1g Solving -15 + 15g = 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. -15 + 15g + g = 1 + -1g + g Combine like terms: 15g + g = 16g -15 + 16g = 1 + -1g + g Combine like terms: -1g + g = 0 -15 + 16g = 1 + 0 -15 + 16g = 1 Add '15' to each side of the equation. -15 + 15 + 16g = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 16g = 1 + 15 16g = 1 + 15 Combine like terms: 1 + 15 = 16 16g = 16 Divide each side by '16'. g = 1 Simplifying g = 1
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