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Simplifying 7 = w + 5 + -3w + 6 Reorder the terms: 7 = 5 + 6 + w + -3w Combine like terms: 5 + 6 = 11 7 = 11 + w + -3w Combine like terms: w + -3w = -2w 7 = 11 + -2w Solving 7 = 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. 7 + 2w = 11 + -2w + 2w Combine like terms: -2w + 2w = 0 7 + 2w = 11 + 0 7 + 2w = 11 Add '-7' to each side of the equation. 7 + -7 + 2w = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 2w = 11 + -7 2w = 11 + -7 Combine like terms: 11 + -7 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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