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Simplifying 7w + 9 + -10w = -15 + w Reorder the terms: 9 + 7w + -10w = -15 + w Combine like terms: 7w + -10w = -3w 9 + -3w = -15 + w Solving 9 + -3w = -15 + w 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. 9 + -3w + -1w = -15 + w + -1w Combine like terms: -3w + -1w = -4w 9 + -4w = -15 + w + -1w Combine like terms: w + -1w = 0 9 + -4w = -15 + 0 9 + -4w = -15 Add '-9' to each side of the equation. 9 + -9 + -4w = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -4w = -15 + -9 -4w = -15 + -9 Combine like terms: -15 + -9 = -24 -4w = -24 Divide each side by '-4'. w = 6 Simplifying w = 6
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