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Simplifying 5(2 + 3w) + -1 = -6 (2 * 5 + 3w * 5) + -1 = -6 (10 + 15w) + -1 = -6 Reorder the terms: 10 + -1 + 15w = -6 Combine like terms: 10 + -1 = 9 9 + 15w = -6 Solving 9 + 15w = -6 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 15w = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 15w = -6 + -9 15w = -6 + -9 Combine like terms: -6 + -9 = -15 15w = -15 Divide each side by '15'. w = -1 Simplifying w = -1
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