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Simplifying 3(2g + -3) + -9g = -4g + -6 Reorder the terms: 3(-3 + 2g) + -9g = -4g + -6 (-3 * 3 + 2g * 3) + -9g = -4g + -6 (-9 + 6g) + -9g = -4g + -6 Combine like terms: 6g + -9g = -3g -9 + -3g = -4g + -6 Reorder the terms: -9 + -3g = -6 + -4g Solving -9 + -3g = -6 + -4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4g' to each side of the equation. -9 + -3g + 4g = -6 + -4g + 4g Combine like terms: -3g + 4g = 1g -9 + 1g = -6 + -4g + 4g Combine like terms: -4g + 4g = 0 -9 + 1g = -6 + 0 -9 + 1g = -6 Add '9' to each side of the equation. -9 + 9 + 1g = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 1g = -6 + 9 1g = -6 + 9 Combine like terms: -6 + 9 = 3 1g = 3 Divide each side by '1'. g = 3 Simplifying g = 3
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