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Simplifying 6(3w + 5) * 5 = -2 Reorder the terms: 6(5 + 3w) * 5 = -2 Reorder the terms for easier multiplication: 6 * 5(5 + 3w) = -2 Multiply 6 * 5 30(5 + 3w) = -2 (5 * 30 + 3w * 30) = -2 (150 + 90w) = -2 Solving 150 + 90w = -2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + 90w = -2 + -150 Combine like terms: 150 + -150 = 0 0 + 90w = -2 + -150 90w = -2 + -150 Combine like terms: -2 + -150 = -152 90w = -152 Divide each side by '90'. w = -1.688888889 Simplifying w = -1.688888889
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