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Simplifying 3(w + 4) + -6w = 0 Reorder the terms: 3(4 + w) + -6w = 0 (4 * 3 + w * 3) + -6w = 0 (12 + 3w) + -6w = 0 Combine like terms: 3w + -6w = -3w 12 + -3w = 0 Solving 12 + -3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -3w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3w = 0 + -12 -3w = 0 + -12 Combine like terms: 0 + -12 = -12 -3w = -12 Divide each side by '-3'. w = 4 Simplifying w = 4
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