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Simplifying 13w + -10 = 10 + -7w Reorder the terms: -10 + 13w = 10 + -7w Solving -10 + 13w = 10 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -10 + 13w + 7w = 10 + -7w + 7w Combine like terms: 13w + 7w = 20w -10 + 20w = 10 + -7w + 7w Combine like terms: -7w + 7w = 0 -10 + 20w = 10 + 0 -10 + 20w = 10 Add '10' to each side of the equation. -10 + 10 + 20w = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 20w = 10 + 10 20w = 10 + 10 Combine like terms: 10 + 10 = 20 20w = 20 Divide each side by '20'. w = 1 Simplifying w = 1
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