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Simplifying 3w + 12 = 26 + -4w Reorder the terms: 12 + 3w = 26 + -4w Solving 12 + 3w = 26 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 12 + 3w + 4w = 26 + -4w + 4w Combine like terms: 3w + 4w = 7w 12 + 7w = 26 + -4w + 4w Combine like terms: -4w + 4w = 0 12 + 7w = 26 + 0 12 + 7w = 26 Add '-12' to each side of the equation. 12 + -12 + 7w = 26 + -12 Combine like terms: 12 + -12 = 0 0 + 7w = 26 + -12 7w = 26 + -12 Combine like terms: 26 + -12 = 14 7w = 14 Divide each side by '7'. w = 2 Simplifying w = 2
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