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Simplifying 1 + 5 = w + -7w Combine like terms: 1 + 5 = 6 6 = w + -7w Combine like terms: w + -7w = -6w 6 = -6w Solving 6 = -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 6 + 6w = -6w + 6w Combine like terms: -6w + 6w = 0 6 + 6w = 0 Add '-6' to each side of the equation. 6 + -6 + 6w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 6w = 0 + -6 6w = 0 + -6 Combine like terms: 0 + -6 = -6 6w = -6 Divide each side by '6'. w = -1 Simplifying w = -1
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