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Simplifying 30 = -6w + 2(w + 5) Reorder the terms: 30 = -6w + 2(5 + w) 30 = -6w + (5 * 2 + w * 2) 30 = -6w + (10 + 2w) Reorder the terms: 30 = 10 + -6w + 2w Combine like terms: -6w + 2w = -4w 30 = 10 + -4w Solving 30 = 10 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 30 + 4w = 10 + -4w + 4w Combine like terms: -4w + 4w = 0 30 + 4w = 10 + 0 30 + 4w = 10 Add '-30' to each side of the equation. 30 + -30 + 4w = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 4w = 10 + -30 4w = 10 + -30 Combine like terms: 10 + -30 = -20 4w = -20 Divide each side by '4'. w = -5 Simplifying w = -5
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