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Simplifying 15 + 6w = 2 + -7w Solving 15 + 6w = 2 + -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. 15 + 6w + 7w = 2 + -7w + 7w Combine like terms: 6w + 7w = 13w 15 + 13w = 2 + -7w + 7w Combine like terms: -7w + 7w = 0 15 + 13w = 2 + 0 15 + 13w = 2 Add '-15' to each side of the equation. 15 + -15 + 13w = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 13w = 2 + -15 13w = 2 + -15 Combine like terms: 2 + -15 = -13 13w = -13 Divide each side by '13'. w = -1 Simplifying w = -1
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