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Simplifying -30 = 2(w + 5) + -6w Reorder the terms: -30 = 2(5 + w) + -6w -30 = (5 * 2 + w * 2) + -6w -30 = (10 + 2w) + -6w Combine like terms: 2w + -6w = -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 = 40 4w = 40 Divide each side by '4'. w = 10 Simplifying w = 10
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