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Simplifying 5g + 3 = 2(g + -3) + 4g Reorder the terms: 3 + 5g = 2(g + -3) + 4g Reorder the terms: 3 + 5g = 2(-3 + g) + 4g 3 + 5g = (-3 * 2 + g * 2) + 4g 3 + 5g = (-6 + 2g) + 4g Combine like terms: 2g + 4g = 6g 3 + 5g = -6 + 6g Solving 3 + 5g = -6 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. 3 + 5g + -6g = -6 + 6g + -6g Combine like terms: 5g + -6g = -1g 3 + -1g = -6 + 6g + -6g Combine like terms: 6g + -6g = 0 3 + -1g = -6 + 0 3 + -1g = -6 Add '-3' to each side of the equation. 3 + -3 + -1g = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -1g = -6 + -3 -1g = -6 + -3 Combine like terms: -6 + -3 = -9 -1g = -9 Divide each side by '-1'. g = 9 Simplifying g = 9
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