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Simplifying 6w + -3 = 5w + -7 Reorder the terms: -3 + 6w = 5w + -7 Reorder the terms: -3 + 6w = -7 + 5w Solving -3 + 6w = -7 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -3 + 6w + -5w = -7 + 5w + -5w Combine like terms: 6w + -5w = 1w -3 + 1w = -7 + 5w + -5w Combine like terms: 5w + -5w = 0 -3 + 1w = -7 + 0 -3 + 1w = -7 Add '3' to each side of the equation. -3 + 3 + 1w = -7 + 3 Combine like terms: -3 + 3 = 0 0 + 1w = -7 + 3 1w = -7 + 3 Combine like terms: -7 + 3 = -4 1w = -4 Divide each side by '1'. w = -4 Simplifying w = -4
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