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Simplifying 3 + -10w + -12 = -13w + -9 Reorder the terms: 3 + -12 + -10w = -13w + -9 Combine like terms: 3 + -12 = -9 -9 + -10w = -13w + -9 Reorder the terms: -9 + -10w = -9 + -13w Add '9' to each side of the equation. -9 + 9 + -10w = -9 + 9 + -13w Combine like terms: -9 + 9 = 0 0 + -10w = -9 + 9 + -13w -10w = -9 + 9 + -13w Combine like terms: -9 + 9 = 0 -10w = 0 + -13w -10w = -13w Solving -10w = -13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13w' to each side of the equation. -10w + 13w = -13w + 13w Combine like terms: -10w + 13w = 3w 3w = -13w + 13w Combine like terms: -13w + 13w = 0 3w = 0 Divide each side by '3'. w = 0 Simplifying w = 0
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