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Simplifying 7w + -3 = 6w + -5 Reorder the terms: -3 + 7w = 6w + -5 Reorder the terms: -3 + 7w = -5 + 6w Solving -3 + 7w = -5 + 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. -3 + 7w + -6w = -5 + 6w + -6w Combine like terms: 7w + -6w = 1w -3 + 1w = -5 + 6w + -6w Combine like terms: 6w + -6w = 0 -3 + 1w = -5 + 0 -3 + 1w = -5 Add '3' to each side of the equation. -3 + 3 + 1w = -5 + 3 Combine like terms: -3 + 3 = 0 0 + 1w = -5 + 3 1w = -5 + 3 Combine like terms: -5 + 3 = -2 1w = -2 Divide each side by '1'. w = -2 Simplifying w = -2
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