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Simplifying 30 = 3(w + 6) + -6w Reorder the terms: 30 = 3(6 + w) + -6w 30 = (6 * 3 + w * 3) + -6w 30 = (18 + 3w) + -6w Combine like terms: 3w + -6w = -3w 30 = 18 + -3w Solving 30 = 18 + -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. 30 + 3w = 18 + -3w + 3w Combine like terms: -3w + 3w = 0 30 + 3w = 18 + 0 30 + 3w = 18 Add '-30' to each side of the equation. 30 + -30 + 3w = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 3w = 18 + -30 3w = 18 + -30 Combine like terms: 18 + -30 = -12 3w = -12 Divide each side by '3'. w = -4 Simplifying w = -4
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