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Simplifying 3(w + 2) = -3w + 36 Reorder the terms: 3(2 + w) = -3w + 36 (2 * 3 + w * 3) = -3w + 36 (6 + 3w) = -3w + 36 Reorder the terms: 6 + 3w = 36 + -3w Solving 6 + 3w = 36 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 6 + 3w + 3w = 36 + -3w + 3w Combine like terms: 3w + 3w = 6w 6 + 6w = 36 + -3w + 3w Combine like terms: -3w + 3w = 0 6 + 6w = 36 + 0 6 + 6w = 36 Add '-6' to each side of the equation. 6 + -6 + 6w = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 6w = 36 + -6 6w = 36 + -6 Combine like terms: 36 + -6 = 30 6w = 30 Divide each side by '6'. w = 5 Simplifying w = 5
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