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Simplifying 4w + -5 + 10g = 6w + 8g + -2 Reorder the terms: -5 + 10g + 4w = 6w + 8g + -2 Reorder the terms: -5 + 10g + 4w = -2 + 8g + 6w Solving -5 + 10g + 4w = -2 + 8g + 6w 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. -5 + 10g + -8g + 4w = -2 + 8g + -8g + 6w Combine like terms: 10g + -8g = 2g -5 + 2g + 4w = -2 + 8g + -8g + 6w Combine like terms: 8g + -8g = 0 -5 + 2g + 4w = -2 + 0 + 6w -5 + 2g + 4w = -2 + 6w Add '5' to each side of the equation. -5 + 2g + 5 + 4w = -2 + 5 + 6w Reorder the terms: -5 + 5 + 2g + 4w = -2 + 5 + 6w Combine like terms: -5 + 5 = 0 0 + 2g + 4w = -2 + 5 + 6w 2g + 4w = -2 + 5 + 6w Combine like terms: -2 + 5 = 3 2g + 4w = 3 + 6w Add '-4w' to each side of the equation. 2g + 4w + -4w = 3 + 6w + -4w Combine like terms: 4w + -4w = 0 2g + 0 = 3 + 6w + -4w 2g = 3 + 6w + -4w Combine like terms: 6w + -4w = 2w 2g = 3 + 2w Divide each side by '2'. g = 1.5 + w Simplifying g = 1.5 + w
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