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Simplifying 7w + -89 = 6w + -74 Reorder the terms: -89 + 7w = 6w + -74 Reorder the terms: -89 + 7w = -74 + 6w Solving -89 + 7w = -74 + 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 = -74 + 6w + -6w Combine like terms: 7w + -6w = 1w -89 + 1w = -74 + 6w + -6w Combine like terms: 6w + -6w = 0 -89 + 1w = -74 + 0 -89 + 1w = -74 Add '89' to each side of the equation. -89 + 89 + 1w = -74 + 89 Combine like terms: -89 + 89 = 0 0 + 1w = -74 + 89 1w = -74 + 89 Combine like terms: -74 + 89 = 15 1w = 15 Divide each side by '1'. w = 15 Simplifying w = 15
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