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Simplifying 6w + -3(-5z + 5w) + -2z = 0 Reorder the terms: 6w + -3(5w + -5z) + -2z = 0 6w + (5w * -3 + -5z * -3) + -2z = 0 6w + (-15w + 15z) + -2z = 0 Combine like terms: 6w + -15w = -9w -9w + 15z + -2z = 0 Combine like terms: 15z + -2z = 13z -9w + 13z = 0 Solving -9w + 13z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13z' to each side of the equation. -9w + 13z + -13z = 0 + -13z Combine like terms: 13z + -13z = 0 -9w + 0 = 0 + -13z -9w = 0 + -13z Remove the zero: -9w = -13z Divide each side by '-9'. w = 1.444444444z Simplifying w = 1.444444444z
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