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