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Simplifying 30 = -3(5 + -1w) + 2w 30 = (5 * -3 + -1w * -3) + 2w 30 = (-15 + 3w) + 2w Combine like terms: 3w + 2w = 5w 30 = -15 + 5w Solving 30 = -15 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 30 + -5w = -15 + 5w + -5w Combine like terms: 5w + -5w = 0 30 + -5w = -15 + 0 30 + -5w = -15 Add '-30' to each side of the equation. 30 + -30 + -5w = -15 + -30 Combine like terms: 30 + -30 = 0 0 + -5w = -15 + -30 -5w = -15 + -30 Combine like terms: -15 + -30 = -45 -5w = -45 Divide each side by '-5'. w = 9 Simplifying w = 9
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