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