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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 Combine like terms: 3w + -6w = -3w -6 + -3w = 12 Solving -6 + -3w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. 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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