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Simplifying 5 + -7 = 4 + 6w + -5w Combine like terms: 5 + -7 = -2 -2 = 4 + 6w + -5w Combine like terms: 6w + -5w = 1w -2 = 4 + 1w Solving -2 = 4 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -2 + -1w = 4 + 1w + -1w Combine like terms: 1w + -1w = 0 -2 + -1w = 4 + 0 -2 + -1w = 4 Add '2' to each side of the equation. -2 + 2 + -1w = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -1w = 4 + 2 -1w = 4 + 2 Combine like terms: 4 + 2 = 6 -1w = 6 Divide each side by '-1'. w = -6 Simplifying w = -6
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