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Simplifying -13 + 2w + 10 = -5w + -27 + -5w Reorder the terms: -13 + 10 + 2w = -5w + -27 + -5w Combine like terms: -13 + 10 = -3 -3 + 2w = -5w + -27 + -5w Reorder the terms: -3 + 2w = -27 + -5w + -5w Combine like terms: -5w + -5w = -10w -3 + 2w = -27 + -10w Solving -3 + 2w = -27 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. -3 + 2w + 10w = -27 + -10w + 10w Combine like terms: 2w + 10w = 12w -3 + 12w = -27 + -10w + 10w Combine like terms: -10w + 10w = 0 -3 + 12w = -27 + 0 -3 + 12w = -27 Add '3' to each side of the equation. -3 + 3 + 12w = -27 + 3 Combine like terms: -3 + 3 = 0 0 + 12w = -27 + 3 12w = -27 + 3 Combine like terms: -27 + 3 = -24 12w = -24 Divide each side by '12'. w = -2 Simplifying w = -2
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