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Simplifying 3w + -7 + -5w = 14 + w Reorder the terms: -7 + 3w + -5w = 14 + w Combine like terms: 3w + -5w = -2w -7 + -2w = 14 + w Solving -7 + -2w = 14 + 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 = 14 + w + -1w Combine like terms: -2w + -1w = -3w -7 + -3w = 14 + w + -1w Combine like terms: w + -1w = 0 -7 + -3w = 14 + 0 -7 + -3w = 14 Add '7' to each side of the equation. -7 + 7 + -3w = 14 + 7 Combine like terms: -7 + 7 = 0 0 + -3w = 14 + 7 -3w = 14 + 7 Combine like terms: 14 + 7 = 21 -3w = 21 Divide each side by '-3'. w = -7 Simplifying w = -7
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