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Simplifying 3(2g + -3) + -9g + -4 = 2g + 12 Reorder the terms: 3(-3 + 2g) + -9g + -4 = 2g + 12 (-3 * 3 + 2g * 3) + -9g + -4 = 2g + 12 (-9 + 6g) + -9g + -4 = 2g + 12 Reorder the terms: -9 + -4 + 6g + -9g = 2g + 12 Combine like terms: -9 + -4 = -13 -13 + 6g + -9g = 2g + 12 Combine like terms: 6g + -9g = -3g -13 + -3g = 2g + 12 Reorder the terms: -13 + -3g = 12 + 2g Solving -13 + -3g = 12 + 2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g' to each side of the equation. -13 + -3g + -2g = 12 + 2g + -2g Combine like terms: -3g + -2g = -5g -13 + -5g = 12 + 2g + -2g Combine like terms: 2g + -2g = 0 -13 + -5g = 12 + 0 -13 + -5g = 12 Add '13' to each side of the equation. -13 + 13 + -5g = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -5g = 12 + 13 -5g = 12 + 13 Combine like terms: 12 + 13 = 25 -5g = 25 Divide each side by '-5'. g = -5 Simplifying g = -5
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