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Simplifying 3(2g + 4) + -3g = 4(3g + -4) + 9 Reorder the terms: 3(4 + 2g) + -3g = 4(3g + -4) + 9 (4 * 3 + 2g * 3) + -3g = 4(3g + -4) + 9 (12 + 6g) + -3g = 4(3g + -4) + 9 Combine like terms: 6g + -3g = 3g 12 + 3g = 4(3g + -4) + 9 Reorder the terms: 12 + 3g = 4(-4 + 3g) + 9 12 + 3g = (-4 * 4 + 3g * 4) + 9 12 + 3g = (-16 + 12g) + 9 Reorder the terms: 12 + 3g = -16 + 9 + 12g Combine like terms: -16 + 9 = -7 12 + 3g = -7 + 12g Solving 12 + 3g = -7 + 12g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12g' to each side of the equation. 12 + 3g + -12g = -7 + 12g + -12g Combine like terms: 3g + -12g = -9g 12 + -9g = -7 + 12g + -12g Combine like terms: 12g + -12g = 0 12 + -9g = -7 + 0 12 + -9g = -7 Add '-12' to each side of the equation. 12 + -12 + -9g = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -9g = -7 + -12 -9g = -7 + -12 Combine like terms: -7 + -12 = -19 -9g = -19 Divide each side by '-9'. g = 2.111111111 Simplifying g = 2.111111111
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