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Simplifying 5w + -4 = 6w + 7 Reorder the terms: -4 + 5w = 6w + 7 Reorder the terms: -4 + 5w = 7 + 6w Solving -4 + 5w = 7 + 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. -4 + 5w + -6w = 7 + 6w + -6w Combine like terms: 5w + -6w = -1w -4 + -1w = 7 + 6w + -6w Combine like terms: 6w + -6w = 0 -4 + -1w = 7 + 0 -4 + -1w = 7 Add '4' to each side of the equation. -4 + 4 + -1w = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -1w = 7 + 4 -1w = 7 + 4 Combine like terms: 7 + 4 = 11 -1w = 11 Divide each side by '-1'. w = -11 Simplifying w = -11
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