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Simplifying 7w + -2(-2z + 5w) + -3z = 0 Reorder the terms: 7w + -2(5w + -2z) + -3z = 0 7w + (5w * -2 + -2z * -2) + -3z = 0 7w + (-10w + 4z) + -3z = 0 Combine like terms: 7w + -10w = -3w -3w + 4z + -3z = 0 Combine like terms: 4z + -3z = 1z -3w + 1z = 0 Solving -3w + 1z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1z' to each side of the equation. -3w + 1z + -1z = 0 + -1z Combine like terms: 1z + -1z = 0 -3w + 0 = 0 + -1z -3w = 0 + -1z Remove the zero: -3w = -1z Divide each side by '-3'. w = 0.3333333333z Simplifying w = 0.3333333333z
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