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Simplifying 54 = 8g + 10 + -4(3g + 12) Reorder the terms: 54 = 8g + 10 + -4(12 + 3g) 54 = 8g + 10 + (12 * -4 + 3g * -4) 54 = 8g + 10 + (-48 + -12g) Reorder the terms: 54 = 10 + -48 + 8g + -12g Combine like terms: 10 + -48 = -38 54 = -38 + 8g + -12g Combine like terms: 8g + -12g = -4g 54 = -38 + -4g Solving 54 = -38 + -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. 54 + 4g = -38 + -4g + 4g Combine like terms: -4g + 4g = 0 54 + 4g = -38 + 0 54 + 4g = -38 Add '-54' to each side of the equation. 54 + -54 + 4g = -38 + -54 Combine like terms: 54 + -54 = 0 0 + 4g = -38 + -54 4g = -38 + -54 Combine like terms: -38 + -54 = -92 4g = -92 Divide each side by '4'. g = -23 Simplifying g = -23
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