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Simplifying 3(w + -6) + -6w = 12 Reorder the terms: 3(-6 + w) + -6w = 12 (-6 * 3 + w * 3) + -6w = 12 (-18 + 3w) + -6w = 12 Combine like terms: 3w + -6w = -3w -18 + -3w = 12 Solving -18 + -3w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -3w = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -3w = 12 + 18 -3w = 12 + 18 Combine like terms: 12 + 18 = 30 -3w = 30 Divide each side by '-3'. w = -10 Simplifying w = -10
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