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Simplifying 49 + 7w = 12 + 6w Solving 49 + 7w = 12 + 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. 49 + 7w + -6w = 12 + 6w + -6w Combine like terms: 7w + -6w = 1w 49 + 1w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 49 + 1w = 12 + 0 49 + 1w = 12 Add '-49' to each side of the equation. 49 + -49 + 1w = 12 + -49 Combine like terms: 49 + -49 = 0 0 + 1w = 12 + -49 1w = 12 + -49 Combine like terms: 12 + -49 = -37 1w = -37 Divide each side by '1'. w = -37 Simplifying w = -37
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