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Simplifying 3(g + -1) + 7 = 3g + g Reorder the terms: 3(-1 + g) + 7 = 3g + g (-1 * 3 + g * 3) + 7 = 3g + g (-3 + 3g) + 7 = 3g + g Reorder the terms: -3 + 7 + 3g = 3g + g Combine like terms: -3 + 7 = 4 4 + 3g = 3g + g Combine like terms: 3g + g = 4g 4 + 3g = 4g Solving 4 + 3g = 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. 4 + 3g + -4g = 4g + -4g Combine like terms: 3g + -4g = -1g 4 + -1g = 4g + -4g Combine like terms: 4g + -4g = 0 4 + -1g = 0 Add '-4' to each side of the equation. 4 + -4 + -1g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1g = 0 + -4 -1g = 0 + -4 Combine like terms: 0 + -4 = -4 -1g = -4 Divide each side by '-1'. g = 4 Simplifying g = 4
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