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Simplifying 7w + -3w = 2(3w + 11) Combine like terms: 7w + -3w = 4w 4w = 2(3w + 11) Reorder the terms: 4w = 2(11 + 3w) 4w = (11 * 2 + 3w * 2) 4w = (22 + 6w) Solving 4w = 22 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 4w + -6w = 22 + 6w + -6w Combine like terms: 4w + -6w = -2w -2w = 22 + 6w + -6w Combine like terms: 6w + -6w = 0 -2w = 22 + 0 -2w = 22 Divide each side by '-2'. w = -11 Simplifying w = -11
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