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Simplifying 3w + -7 = w + -23 Reorder the terms: -7 + 3w = w + -23 Reorder the terms: -7 + 3w = -23 + w Solving -7 + 3w = -23 + 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 + 3w + -1w = -23 + w + -1w Combine like terms: 3w + -1w = 2w -7 + 2w = -23 + w + -1w Combine like terms: w + -1w = 0 -7 + 2w = -23 + 0 -7 + 2w = -23 Add '7' to each side of the equation. -7 + 7 + 2w = -23 + 7 Combine like terms: -7 + 7 = 0 0 + 2w = -23 + 7 2w = -23 + 7 Combine like terms: -23 + 7 = -16 2w = -16 Divide each side by '2'. w = -8 Simplifying w = -8
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