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Simplifying 11 + -15 = 6w + -6 + -5w Combine like terms: 11 + -15 = -4 -4 = 6w + -6 + -5w Reorder the terms: -4 = -6 + 6w + -5w Combine like terms: 6w + -5w = 1w -4 = -6 + 1w Solving -4 = -6 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -4 + -1w = -6 + 1w + -1w Combine like terms: 1w + -1w = 0 -4 + -1w = -6 + 0 -4 + -1w = -6 Add '4' to each side of the equation. -4 + 4 + -1w = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -1w = -6 + 4 -1w = -6 + 4 Combine like terms: -6 + 4 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2
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