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Simplifying 3(w + -6) + 5w + 1 = 0 Reorder the terms: 3(-6 + w) + 5w + 1 = 0 (-6 * 3 + w * 3) + 5w + 1 = 0 (-18 + 3w) + 5w + 1 = 0 Reorder the terms: -18 + 1 + 3w + 5w = 0 Combine like terms: -18 + 1 = -17 -17 + 3w + 5w = 0 Combine like terms: 3w + 5w = 8w -17 + 8w = 0 Solving -17 + 8w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 8w = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 8w = 0 + 17 8w = 0 + 17 Combine like terms: 0 + 17 = 17 8w = 17 Divide each side by '8'. w = 2.125 Simplifying w = 2.125
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