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Simplifying -3(-6w + -18) + 6 = 12w Reorder the terms: -3(-18 + -6w) + 6 = 12w (-18 * -3 + -6w * -3) + 6 = 12w (54 + 18w) + 6 = 12w Reorder the terms: 54 + 6 + 18w = 12w Combine like terms: 54 + 6 = 60 60 + 18w = 12w Solving 60 + 18w = 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 60 + 18w + -12w = 12w + -12w Combine like terms: 18w + -12w = 6w 60 + 6w = 12w + -12w Combine like terms: 12w + -12w = 0 60 + 6w = 0 Add '-60' to each side of the equation. 60 + -60 + 6w = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 6w = 0 + -60 6w = 0 + -60 Combine like terms: 0 + -60 = -60 6w = -60 Divide each side by '6'. w = -10 Simplifying w = -10
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