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Simplifying 3(w + 7) = 6w + 36 Reorder the terms: 3(7 + w) = 6w + 36 (7 * 3 + w * 3) = 6w + 36 (21 + 3w) = 6w + 36 Reorder the terms: 21 + 3w = 36 + 6w Solving 21 + 3w = 36 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 21 + 3w + -6w = 36 + 6w + -6w Combine like terms: 3w + -6w = -3w 21 + -3w = 36 + 6w + -6w Combine like terms: 6w + -6w = 0 21 + -3w = 36 + 0 21 + -3w = 36 Add '-21' to each side of the equation. 21 + -21 + -3w = 36 + -21 Combine like terms: 21 + -21 = 0 0 + -3w = 36 + -21 -3w = 36 + -21 Combine like terms: 36 + -21 = 15 -3w = 15 Divide each side by '-3'. w = -5 Simplifying w = -5
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