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Simplifying 7w + -6 = (w + 6) Reorder the terms: -6 + 7w = (w + 6) Reorder the terms: -6 + 7w = (6 + w) Remove parenthesis around (6 + w) -6 + 7w = 6 + w Solving -6 + 7w = 6 + w 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. -6 + 7w + -1w = 6 + w + -1w Combine like terms: 7w + -1w = 6w -6 + 6w = 6 + w + -1w Combine like terms: w + -1w = 0 -6 + 6w = 6 + 0 -6 + 6w = 6 Add '6' to each side of the equation. -6 + 6 + 6w = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 6w = 6 + 6 6w = 6 + 6 Combine like terms: 6 + 6 = 12 6w = 12 Divide each side by '6'. w = 2 Simplifying w = 2
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