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Simplifying 2(5 + -2w) + -6 + 3(2w + -3z) + z = 0 (5 * 2 + -2w * 2) + -6 + 3(2w + -3z) + z = 0 (10 + -4w) + -6 + 3(2w + -3z) + z = 0 10 + -4w + -6 + (2w * 3 + -3z * 3) + z = 0 10 + -4w + -6 + (6w + -9z) + z = 0 Reorder the terms: 10 + -6 + -4w + 6w + -9z + z = 0 Combine like terms: 10 + -6 = 4 4 + -4w + 6w + -9z + z = 0 Combine like terms: -4w + 6w = 2w 4 + 2w + -9z + z = 0 Combine like terms: -9z + z = -8z 4 + 2w + -8z = 0 Solving 4 + 2w + -8z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2w + -4 + -8z = 0 + -4 Reorder the terms: 4 + -4 + 2w + -8z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2w + -8z = 0 + -4 2w + -8z = 0 + -4 Combine like terms: 0 + -4 = -4 2w + -8z = -4 Add '8z' to each side of the equation. 2w + -8z + 8z = -4 + 8z Combine like terms: -8z + 8z = 0 2w + 0 = -4 + 8z 2w = -4 + 8z Divide each side by '2'. w = -2 + 4z Simplifying w = -2 + 4z
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