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Simplifying 12(2w + -3w) = 6w Combine like terms: 2w + -3w = -1w 12(-1w) = 6w Remove parenthesis around (-1w) 12 * -1w = 6w Multiply 12 * -1 -12w = 6w Solving -12w = 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. -12w + -6w = 6w + -6w Combine like terms: -12w + -6w = -18w -18w = 6w + -6w Combine like terms: 6w + -6w = 0 -18w = 0 Divide each side by '-18'. w = 0 Simplifying w = 0
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