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Simplifying -5w + -2 = -2w + 13 Reorder the terms: -2 + -5w = -2w + 13 Reorder the terms: -2 + -5w = 13 + -2w Solving -2 + -5w = 13 + -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 + -5w + 2w = 13 + -2w + 2w Combine like terms: -5w + 2w = -3w -2 + -3w = 13 + -2w + 2w Combine like terms: -2w + 2w = 0 -2 + -3w = 13 + 0 -2 + -3w = 13 Add '2' to each side of the equation. -2 + 2 + -3w = 13 + 2 Combine like terms: -2 + 2 = 0 0 + -3w = 13 + 2 -3w = 13 + 2 Combine like terms: 13 + 2 = 15 -3w = 15 Divide each side by '-3'. w = -5 Simplifying w = -5
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