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Simplifying 3 + -5w = 7w + -9 + -10w Reorder the terms: 3 + -5w = -9 + 7w + -10w Combine like terms: 7w + -10w = -3w 3 + -5w = -9 + -3w Solving 3 + -5w = -9 + -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. 3 + -5w + 3w = -9 + -3w + 3w Combine like terms: -5w + 3w = -2w 3 + -2w = -9 + -3w + 3w Combine like terms: -3w + 3w = 0 3 + -2w = -9 + 0 3 + -2w = -9 Add '-3' to each side of the equation. 3 + -3 + -2w = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -2w = -9 + -3 -2w = -9 + -3 Combine like terms: -9 + -3 = -12 -2w = -12 Divide each side by '-2'. w = 6 Simplifying w = 6
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