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Simplifying 7w + 2 = w + -12 Reorder the terms: 2 + 7w = w + -12 Reorder the terms: 2 + 7w = -12 + w Solving 2 + 7w = -12 + 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. 2 + 7w + -1w = -12 + w + -1w Combine like terms: 7w + -1w = 6w 2 + 6w = -12 + w + -1w Combine like terms: w + -1w = 0 2 + 6w = -12 + 0 2 + 6w = -12 Add '-2' to each side of the equation. 2 + -2 + 6w = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 6w = -12 + -2 6w = -12 + -2 Combine like terms: -12 + -2 = -14 6w = -14 Divide each side by '6'. w = -2.333333333 Simplifying w = -2.333333333
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