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Simplifying 12 = -6w + 3(w + -2) Reorder the terms: 12 = -6w + 3(-2 + w) 12 = -6w + (-2 * 3 + w * 3) 12 = -6w + (-6 + 3w) Reorder the terms: 12 = -6 + -6w + 3w Combine like terms: -6w + 3w = -3w 12 = -6 + -3w Solving 12 = -6 + -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. 12 + 3w = -6 + -3w + 3w Combine like terms: -3w + 3w = 0 12 + 3w = -6 + 0 12 + 3w = -6 Add '-12' to each side of the equation. 12 + -12 + 3w = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 3w = -6 + -12 3w = -6 + -12 Combine like terms: -6 + -12 = -18 3w = -18 Divide each side by '3'. w = -6 Simplifying w = -6
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