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Simplifying -30 = 6(1 + -2w) -30 = (1 * 6 + -2w * 6) -30 = (6 + -12w) Solving -30 = 6 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. -30 + 12w = 6 + -12w + 12w Combine like terms: -12w + 12w = 0 -30 + 12w = 6 + 0 -30 + 12w = 6 Add '30' to each side of the equation. -30 + 30 + 12w = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 12w = 6 + 30 12w = 6 + 30 Combine like terms: 6 + 30 = 36 12w = 36 Divide each side by '12'. w = 3 Simplifying w = 3
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