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Simplifying 5 + -4w = 13 + -2w Solving 5 + -4w = 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. 5 + -4w + 2w = 13 + -2w + 2w Combine like terms: -4w + 2w = -2w 5 + -2w = 13 + -2w + 2w Combine like terms: -2w + 2w = 0 5 + -2w = 13 + 0 5 + -2w = 13 Add '-5' to each side of the equation. 5 + -5 + -2w = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = 13 + -5 -2w = 13 + -5 Combine like terms: 13 + -5 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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