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Simplifying w + 3z + 5w + 2 = 0 Reorder the terms: 2 + w + 5w + 3z = 0 Combine like terms: w + 5w = 6w 2 + 6w + 3z = 0 Solving 2 + 6w + 3z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 6w + -2 + 3z = 0 + -2 Reorder the terms: 2 + -2 + 6w + 3z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6w + 3z = 0 + -2 6w + 3z = 0 + -2 Combine like terms: 0 + -2 = -2 6w + 3z = -2 Add '-3z' to each side of the equation. 6w + 3z + -3z = -2 + -3z Combine like terms: 3z + -3z = 0 6w + 0 = -2 + -3z 6w = -2 + -3z Divide each side by '6'. w = -0.3333333333 + -0.5z Simplifying w = -0.3333333333 + -0.5z
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