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Simplifying w + 2 + -3w + -4 + 5w + 6 + -7w + -8 = 0 Reorder the terms: 2 + -4 + 6 + -8 + w + -3w + 5w + -7w = 0 Combine like terms: 2 + -4 = -2 -2 + 6 + -8 + w + -3w + 5w + -7w = 0 Combine like terms: -2 + 6 = 4 4 + -8 + w + -3w + 5w + -7w = 0 Combine like terms: 4 + -8 = -4 -4 + w + -3w + 5w + -7w = 0 Combine like terms: w + -3w = -2w -4 + -2w + 5w + -7w = 0 Combine like terms: -2w + 5w = 3w -4 + 3w + -7w = 0 Combine like terms: 3w + -7w = -4w -4 + -4w = 0 Solving -4 + -4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -4w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4w = 0 + 4 -4w = 0 + 4 Combine like terms: 0 + 4 = 4 -4w = 4 Divide each side by '-4'. w = -1 Simplifying w = -1
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