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Simplifying -10 + 3w + 2 = -3w + 2 + -4w Reorder the terms: -10 + 2 + 3w = -3w + 2 + -4w Combine like terms: -10 + 2 = -8 -8 + 3w = -3w + 2 + -4w Reorder the terms: -8 + 3w = 2 + -3w + -4w Combine like terms: -3w + -4w = -7w -8 + 3w = 2 + -7w Solving -8 + 3w = 2 + -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. -8 + 3w + 7w = 2 + -7w + 7w Combine like terms: 3w + 7w = 10w -8 + 10w = 2 + -7w + 7w Combine like terms: -7w + 7w = 0 -8 + 10w = 2 + 0 -8 + 10w = 2 Add '8' to each side of the equation. -8 + 8 + 10w = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 10w = 2 + 8 10w = 2 + 8 Combine like terms: 2 + 8 = 10 10w = 10 Divide each side by '10'. w = 1 Simplifying w = 1
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