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Simplifying 5g + 8 = 3(4g + -2) Reorder the terms: 8 + 5g = 3(4g + -2) Reorder the terms: 8 + 5g = 3(-2 + 4g) 8 + 5g = (-2 * 3 + 4g * 3) 8 + 5g = (-6 + 12g) Solving 8 + 5g = -6 + 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. 8 + 5g + -12g = -6 + 12g + -12g Combine like terms: 5g + -12g = -7g 8 + -7g = -6 + 12g + -12g Combine like terms: 12g + -12g = 0 8 + -7g = -6 + 0 8 + -7g = -6 Add '-8' to each side of the equation. 8 + -8 + -7g = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -7g = -6 + -8 -7g = -6 + -8 Combine like terms: -6 + -8 = -14 -7g = -14 Divide each side by '-7'. g = 2 Simplifying g = 2
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