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Simplifying 3w + 2 + -1w + 4 = -5 + -1w + -4 Reorder the terms: 2 + 4 + 3w + -1w = -5 + -1w + -4 Combine like terms: 2 + 4 = 6 6 + 3w + -1w = -5 + -1w + -4 Combine like terms: 3w + -1w = 2w 6 + 2w = -5 + -1w + -4 Reorder the terms: 6 + 2w = -5 + -4 + -1w Combine like terms: -5 + -4 = -9 6 + 2w = -9 + -1w Solving 6 + 2w = -9 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 6 + 2w + w = -9 + -1w + w Combine like terms: 2w + w = 3w 6 + 3w = -9 + -1w + w Combine like terms: -1w + w = 0 6 + 3w = -9 + 0 6 + 3w = -9 Add '-6' to each side of the equation. 6 + -6 + 3w = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 3w = -9 + -6 3w = -9 + -6 Combine like terms: -9 + -6 = -15 3w = -15 Divide each side by '3'. w = -5 Simplifying w = -5
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