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Simplifying 1 + -9w + 3 = 3w + 15 + -10w Reorder the terms: 1 + 3 + -9w = 3w + 15 + -10w Combine like terms: 1 + 3 = 4 4 + -9w = 3w + 15 + -10w Reorder the terms: 4 + -9w = 15 + 3w + -10w Combine like terms: 3w + -10w = -7w 4 + -9w = 15 + -7w Solving 4 + -9w = 15 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 4 + -9w + 7w = 15 + -7w + 7w Combine like terms: -9w + 7w = -2w 4 + -2w = 15 + -7w + 7w Combine like terms: -7w + 7w = 0 4 + -2w = 15 + 0 4 + -2w = 15 Add '-4' to each side of the equation. 4 + -4 + -2w = 15 + -4 Combine like terms: 4 + -4 = 0 0 + -2w = 15 + -4 -2w = 15 + -4 Combine like terms: 15 + -4 = 11 -2w = 11 Divide each side by '-2'. w = -5.5 Simplifying w = -5.5
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