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Simplifying 7w + -89 = 6w + -7 Reorder the terms: -89 + 7w = 6w + -7 Reorder the terms: -89 + 7w = -7 + 6w Solving -89 + 7w = -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. -89 + 7w + -6w = -7 + 6w + -6w Combine like terms: 7w + -6w = 1w -89 + 1w = -7 + 6w + -6w Combine like terms: 6w + -6w = 0 -89 + 1w = -7 + 0 -89 + 1w = -7 Add '89' to each side of the equation. -89 + 89 + 1w = -7 + 89 Combine like terms: -89 + 89 = 0 0 + 1w = -7 + 89 1w = -7 + 89 Combine like terms: -7 + 89 = 82 1w = 82 Divide each side by '1'. w = 82 Simplifying w = 82
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