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Simplifying 5w + -4 = 2w + -34 Reorder the terms: -4 + 5w = 2w + -34 Reorder the terms: -4 + 5w = -34 + 2w Solving -4 + 5w = -34 + 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 = -34 + 2w + -2w Combine like terms: 5w + -2w = 3w -4 + 3w = -34 + 2w + -2w Combine like terms: 2w + -2w = 0 -4 + 3w = -34 + 0 -4 + 3w = -34 Add '4' to each side of the equation. -4 + 4 + 3w = -34 + 4 Combine like terms: -4 + 4 = 0 0 + 3w = -34 + 4 3w = -34 + 4 Combine like terms: -34 + 4 = -30 3w = -30 Divide each side by '3'. w = -10 Simplifying w = -10
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