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Simplifying 15 + w + -10 = 7w + -5 + -3w Reorder the terms: 15 + -10 + w = 7w + -5 + -3w Combine like terms: 15 + -10 = 5 5 + w = 7w + -5 + -3w Reorder the terms: 5 + w = -5 + 7w + -3w Combine like terms: 7w + -3w = 4w 5 + w = -5 + 4w Solving 5 + w = -5 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 5 + w + -4w = -5 + 4w + -4w Combine like terms: w + -4w = -3w 5 + -3w = -5 + 4w + -4w Combine like terms: 4w + -4w = 0 5 + -3w = -5 + 0 5 + -3w = -5 Add '-5' to each side of the equation. 5 + -5 + -3w = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -3w = -5 + -5 -3w = -5 + -5 Combine like terms: -5 + -5 = -10 -3w = -10 Divide each side by '-3'. w = 3.333333333 Simplifying w = 3.333333333
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