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Simplifying 7w + -2 = w + 10 Reorder the terms: -2 + 7w = w + 10 Reorder the terms: -2 + 7w = 10 + w Solving -2 + 7w = 10 + 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. -2 + 7w + -1w = 10 + w + -1w Combine like terms: 7w + -1w = 6w -2 + 6w = 10 + w + -1w Combine like terms: w + -1w = 0 -2 + 6w = 10 + 0 -2 + 6w = 10 Add '2' to each side of the equation. -2 + 2 + 6w = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 6w = 10 + 2 6w = 10 + 2 Combine like terms: 10 + 2 = 12 6w = 12 Divide each side by '6'. w = 2 Simplifying w = 2
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