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Simplifying 3(w + 7) + -6w = 6 Reorder the terms: 3(7 + w) + -6w = 6 (7 * 3 + w * 3) + -6w = 6 (21 + 3w) + -6w = 6 Combine like terms: 3w + -6w = -3w 21 + -3w = 6 Solving 21 + -3w = 6 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 = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -3w = 6 + -21 -3w = 6 + -21 Combine like terms: 6 + -21 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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