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Simplifying 8w + -1(3w + 6) = 19 Reorder the terms: 8w + -1(6 + 3w) = 19 8w + (6 * -1 + 3w * -1) = 19 8w + (-6 + -3w) = 19 Reorder the terms: -6 + 8w + -3w = 19 Combine like terms: 8w + -3w = 5w -6 + 5w = 19 Solving -6 + 5w = 19 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5w = 19 + 6 Combine like terms: -6 + 6 = 0 0 + 5w = 19 + 6 5w = 19 + 6 Combine like terms: 19 + 6 = 25 5w = 25 Divide each side by '5'. w = 5 Simplifying w = 5
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