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Simplifying 8w + 10 + -5w = 3w + 4w + 8 Reorder the terms: 10 + 8w + -5w = 3w + 4w + 8 Combine like terms: 8w + -5w = 3w 10 + 3w = 3w + 4w + 8 Reorder the terms: 10 + 3w = 8 + 3w + 4w Combine like terms: 3w + 4w = 7w 10 + 3w = 8 + 7w Solving 10 + 3w = 8 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 10 + 3w + -7w = 8 + 7w + -7w Combine like terms: 3w + -7w = -4w 10 + -4w = 8 + 7w + -7w Combine like terms: 7w + -7w = 0 10 + -4w = 8 + 0 10 + -4w = 8 Add '-10' to each side of the equation. 10 + -10 + -4w = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -4w = 8 + -10 -4w = 8 + -10 Combine like terms: 8 + -10 = -2 -4w = -2 Divide each side by '-4'. w = 0.5 Simplifying w = 0.5
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