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Simplifying 3w + -4 = 2w + 22 Reorder the terms: -4 + 3w = 2w + 22 Reorder the terms: -4 + 3w = 22 + 2w Solving -4 + 3w = 22 + 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 + 3w + -2w = 22 + 2w + -2w Combine like terms: 3w + -2w = 1w -4 + 1w = 22 + 2w + -2w Combine like terms: 2w + -2w = 0 -4 + 1w = 22 + 0 -4 + 1w = 22 Add '4' to each side of the equation. -4 + 4 + 1w = 22 + 4 Combine like terms: -4 + 4 = 0 0 + 1w = 22 + 4 1w = 22 + 4 Combine like terms: 22 + 4 = 26 1w = 26 Divide each side by '1'. w = 26 Simplifying w = 26
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