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Simplifying 4(g + -1w) = 5w + -3 (g * 4 + -1w * 4) = 5w + -3 (4g + -4w) = 5w + -3 Reorder the terms: 4g + -4w = -3 + 5w Solving 4g + -4w = -3 + 5w Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4w' to each side of the equation. 4g + -4w + 4w = -3 + 5w + 4w Combine like terms: -4w + 4w = 0 4g + 0 = -3 + 5w + 4w 4g = -3 + 5w + 4w Combine like terms: 5w + 4w = 9w 4g = -3 + 9w Divide each side by '4'. g = -0.75 + 2.25w Simplifying g = -0.75 + 2.25w
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