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Simplifying -1(8w + 5) + 3(w + -15) = 0 Reorder the terms: -1(5 + 8w) + 3(w + -15) = 0 (5 * -1 + 8w * -1) + 3(w + -15) = 0 (-5 + -8w) + 3(w + -15) = 0 Reorder the terms: -5 + -8w + 3(-15 + w) = 0 -5 + -8w + (-15 * 3 + w * 3) = 0 -5 + -8w + (-45 + 3w) = 0 Reorder the terms: -5 + -45 + -8w + 3w = 0 Combine like terms: -5 + -45 = -50 -50 + -8w + 3w = 0 Combine like terms: -8w + 3w = -5w -50 + -5w = 0 Solving -50 + -5w = 0 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 = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -5w = 0 + 50 -5w = 0 + 50 Combine like terms: 0 + 50 = 50 -5w = 50 Divide each side by '-5'. w = -10 Simplifying w = -10
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