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Simplifying 6 + -2w = w + -30 Reorder the terms: 6 + -2w = -30 + w Solving 6 + -2w = -30 + 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 + -2w + -1w = -30 + w + -1w Combine like terms: -2w + -1w = -3w 6 + -3w = -30 + w + -1w Combine like terms: w + -1w = 0 6 + -3w = -30 + 0 6 + -3w = -30 Add '-6' to each side of the equation. 6 + -6 + -3w = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -3w = -30 + -6 -3w = -30 + -6 Combine like terms: -30 + -6 = -36 -3w = -36 Divide each side by '-3'. w = 12 Simplifying w = 12
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