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