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Simplifying 3w + -2(-5z + 6w) + -3z = 0 Reorder the terms: 3w + -2(6w + -5z) + -3z = 0 3w + (6w * -2 + -5z * -2) + -3z = 0 3w + (-12w + 10z) + -3z = 0 Combine like terms: 3w + -12w = -9w -9w + 10z + -3z = 0 Combine like terms: 10z + -3z = 7z -9w + 7z = 0 Solving -9w + 7z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7z' to each side of the equation. -9w + 7z + -7z = 0 + -7z Combine like terms: 7z + -7z = 0 -9w + 0 = 0 + -7z -9w = 0 + -7z Remove the zero: -9w = -7z Divide each side by '-9'. w = 0.7777777778z Simplifying w = 0.7777777778z
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