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Simplifying 5w + -1(32 + 18) = 100 Combine like terms: 32 + 18 = 50 5w + -1(50) = 100 Multiply -1 * 50 5w + -50 = 100 Reorder the terms: -50 + 5w = 100 Solving -50 + 5w = 100 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 5w = 100 + 50 Combine like terms: -50 + 50 = 0 0 + 5w = 100 + 50 5w = 100 + 50 Combine like terms: 100 + 50 = 150 5w = 150 Divide each side by '5'. w = 30 Simplifying w = 30
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