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Simplifying 5w + 4 = 2w + -11 Reorder the terms: 4 + 5w = 2w + -11 Reorder the terms: 4 + 5w = -11 + 2w Solving 4 + 5w = -11 + 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. 4 + 5w + -2w = -11 + 2w + -2w Combine like terms: 5w + -2w = 3w 4 + 3w = -11 + 2w + -2w Combine like terms: 2w + -2w = 0 4 + 3w = -11 + 0 4 + 3w = -11 Add '-4' to each side of the equation. 4 + -4 + 3w = -11 + -4 Combine like terms: 4 + -4 = 0 0 + 3w = -11 + -4 3w = -11 + -4 Combine like terms: -11 + -4 = -15 3w = -15 Divide each side by '3'. w = -5 Simplifying w = -5
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