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Simplifying 7g + 4 = 3(3g + 1) + -1g Reorder the terms: 4 + 7g = 3(3g + 1) + -1g Reorder the terms: 4 + 7g = 3(1 + 3g) + -1g 4 + 7g = (1 * 3 + 3g * 3) + -1g 4 + 7g = (3 + 9g) + -1g Combine like terms: 9g + -1g = 8g 4 + 7g = 3 + 8g Solving 4 + 7g = 3 + 8g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8g' to each side of the equation. 4 + 7g + -8g = 3 + 8g + -8g Combine like terms: 7g + -8g = -1g 4 + -1g = 3 + 8g + -8g Combine like terms: 8g + -8g = 0 4 + -1g = 3 + 0 4 + -1g = 3 Add '-4' to each side of the equation. 4 + -4 + -1g = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -1g = 3 + -4 -1g = 3 + -4 Combine like terms: 3 + -4 = -1 -1g = -1 Divide each side by '-1'. g = 1 Simplifying g = 1
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