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Simplifying 12 = -3w + 6(w + 2) Reorder the terms: 12 = -3w + 6(2 + w) 12 = -3w + (2 * 6 + w * 6) 12 = -3w + (12 + 6w) Reorder the terms: 12 = 12 + -3w + 6w Combine like terms: -3w + 6w = 3w 12 = 12 + 3w Add '-12' to each side of the equation. 12 + -12 = 12 + -12 + 3w Combine like terms: 12 + -12 = 0 0 = 12 + -12 + 3w Combine like terms: 12 + -12 = 0 0 = 0 + 3w 0 = 3w Solving 0 = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 0 + -3w = 3w + -3w Remove the zero: -3w = 3w + -3w Combine like terms: 3w + -3w = 0 -3w = 0 Divide each side by '-3'. w = 0 Simplifying w = 0
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