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