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Simplifying -4(-3w + -3z) + -2(-6z + -1w) = 0 (-3w * -4 + -3z * -4) + -2(-6z + -1w) = 0 (12w + 12z) + -2(-6z + -1w) = 0 Reorder the terms: 12w + 12z + -2(-1w + -6z) = 0 12w + 12z + (-1w * -2 + -6z * -2) = 0 12w + 12z + (2w + 12z) = 0 Reorder the terms: 12w + 2w + 12z + 12z = 0 Combine like terms: 12w + 2w = 14w 14w + 12z + 12z = 0 Combine like terms: 12z + 12z = 24z 14w + 24z = 0 Solving 14w + 24z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24z' to each side of the equation. 14w + 24z + -24z = 0 + -24z Combine like terms: 24z + -24z = 0 14w + 0 = 0 + -24z 14w = 0 + -24z Remove the zero: 14w = -24z Divide each side by '14'. w = -1.714285714z Simplifying w = -1.714285714z
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