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Simplifying -6w + 3(w + 7) = 12 Reorder the terms: -6w + 3(7 + w) = 12 -6w + (7 * 3 + w * 3) = 12 -6w + (21 + 3w) = 12 Reorder the terms: 21 + -6w + 3w = 12 Combine like terms: -6w + 3w = -3w 21 + -3w = 12 Solving 21 + -3w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -3w = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -3w = 12 + -21 -3w = 12 + -21 Combine like terms: 12 + -21 = -9 -3w = -9 Divide each side by '-3'. w = 3 Simplifying w = 3
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