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Simplifying -5(3w + 10) = 100 Reorder the terms: -5(10 + 3w) = 100 (10 * -5 + 3w * -5) = 100 (-50 + -15w) = 100 Solving -50 + -15w = 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 + -15w = 100 + 50 Combine like terms: -50 + 50 = 0 0 + -15w = 100 + 50 -15w = 100 + 50 Combine like terms: 100 + 50 = 150 -15w = 150 Divide each side by '-15'. w = -10 Simplifying w = -10
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