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Simplifying 6w + -5(-3z + 2w) + -3z = 0 Reorder the terms: 6w + -5(2w + -3z) + -3z = 0 6w + (2w * -5 + -3z * -5) + -3z = 0 6w + (-10w + 15z) + -3z = 0 Combine like terms: 6w + -10w = -4w -4w + 15z + -3z = 0 Combine like terms: 15z + -3z = 12z -4w + 12z = 0 Solving -4w + 12z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12z' to each side of the equation. -4w + 12z + -12z = 0 + -12z Combine like terms: 12z + -12z = 0 -4w + 0 = 0 + -12z -4w = 0 + -12z Remove the zero: -4w = -12z Divide each side by '-4'. w = 3z Simplifying w = 3z
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