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Simplifying 4g + 14 = -7g + 47 Reorder the terms: 14 + 4g = -7g + 47 Reorder the terms: 14 + 4g = 47 + -7g Solving 14 + 4g = 47 + -7g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '7g' to each side of the equation. 14 + 4g + 7g = 47 + -7g + 7g Combine like terms: 4g + 7g = 11g 14 + 11g = 47 + -7g + 7g Combine like terms: -7g + 7g = 0 14 + 11g = 47 + 0 14 + 11g = 47 Add '-14' to each side of the equation. 14 + -14 + 11g = 47 + -14 Combine like terms: 14 + -14 = 0 0 + 11g = 47 + -14 11g = 47 + -14 Combine like terms: 47 + -14 = 33 11g = 33 Divide each side by '11'. g = 3 Simplifying g = 3
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