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