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Simplifying 15(w + 2z) + -4(2w + -3z) = 0 (w * 15 + 2z * 15) + -4(2w + -3z) = 0 (15w + 30z) + -4(2w + -3z) = 0 15w + 30z + (2w * -4 + -3z * -4) = 0 15w + 30z + (-8w + 12z) = 0 Reorder the terms: 15w + -8w + 30z + 12z = 0 Combine like terms: 15w + -8w = 7w 7w + 30z + 12z = 0 Combine like terms: 30z + 12z = 42z 7w + 42z = 0 Solving 7w + 42z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-42z' to each side of the equation. 7w + 42z + -42z = 0 + -42z Combine like terms: 42z + -42z = 0 7w + 0 = 0 + -42z 7w = 0 + -42z Remove the zero: 7w = -42z Divide each side by '7'. w = -6z Simplifying w = -6z
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