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Simplifying 3g + 5 = 7g + 4w + -9 Reorder the terms: 5 + 3g = 7g + 4w + -9 Reorder the terms: 5 + 3g = -9 + 7g + 4w Solving 5 + 3g = -9 + 7g + 4w 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. 5 + 3g + -7g = -9 + 7g + -7g + 4w Combine like terms: 3g + -7g = -4g 5 + -4g = -9 + 7g + -7g + 4w Combine like terms: 7g + -7g = 0 5 + -4g = -9 + 0 + 4w 5 + -4g = -9 + 4w Add '-5' to each side of the equation. 5 + -5 + -4g = -9 + -5 + 4w Combine like terms: 5 + -5 = 0 0 + -4g = -9 + -5 + 4w -4g = -9 + -5 + 4w Combine like terms: -9 + -5 = -14 -4g = -14 + 4w Divide each side by '-4'. g = 3.5 + -1w Simplifying g = 3.5 + -1w
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