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Simplifying 30 = 6(w + 3) + -3w Reorder the terms: 30 = 6(3 + w) + -3w 30 = (3 * 6 + w * 6) + -3w 30 = (18 + 6w) + -3w Combine like terms: 6w + -3w = 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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