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Simplifying -30 = 3(w + -2) + -6w Reorder the terms: -30 = 3(-2 + w) + -6w -30 = (-2 * 3 + w * 3) + -6w -30 = (-6 + 3w) + -6w Combine like terms: 3w + -6w = -3w -30 = -6 + -3w Solving -30 = -6 + -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 = -6 + -3w + 3w Combine like terms: -3w + 3w = 0 -30 + 3w = -6 + 0 -30 + 3w = -6 Add '30' to each side of the equation. -30 + 30 + 3w = -6 + 30 Combine like terms: -30 + 30 = 0 0 + 3w = -6 + 30 3w = -6 + 30 Combine like terms: -6 + 30 = 24 3w = 24 Divide each side by '3'. w = 8 Simplifying w = 8
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