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Simplifying 3w + -1w + 3 = w + -7 Reorder the terms: 3 + 3w + -1w = w + -7 Combine like terms: 3w + -1w = 2w 3 + 2w = w + -7 Reorder the terms: 3 + 2w = -7 + w Solving 3 + 2w = -7 + 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. 3 + 2w + -1w = -7 + w + -1w Combine like terms: 2w + -1w = 1w 3 + 1w = -7 + w + -1w Combine like terms: w + -1w = 0 3 + 1w = -7 + 0 3 + 1w = -7 Add '-3' to each side of the equation. 3 + -3 + 1w = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 1w = -7 + -3 1w = -7 + -3 Combine like terms: -7 + -3 = -10 1w = -10 Divide each side by '1'. w = -10 Simplifying w = -10
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