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Simplifying 7 + -2w = w + 1 Reorder the terms: 7 + -2w = 1 + w Solving 7 + -2w = 1 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 7 + -2w + -1w = 1 + w + -1w Combine like terms: -2w + -1w = -3w 7 + -3w = 1 + w + -1w Combine like terms: w + -1w = 0 7 + -3w = 1 + 0 7 + -3w = 1 Add '-7' to each side of the equation. 7 + -7 + -3w = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3w = 1 + -7 -3w = 1 + -7 Combine like terms: 1 + -7 = -6 -3w = -6 Divide each side by '-3'. w = 2 Simplifying w = 2
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