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Simplifying 2w + -5(-3z + 2w) + -2w = 0 Reorder the terms: 2w + -5(2w + -3z) + -2w = 0 2w + (2w * -5 + -3z * -5) + -2w = 0 2w + (-10w + 15z) + -2w = 0 Reorder the terms: 2w + -10w + -2w + 15z = 0 Combine like terms: 2w + -10w = -8w -8w + -2w + 15z = 0 Combine like terms: -8w + -2w = -10w -10w + 15z = 0 Solving -10w + 15z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15z' to each side of the equation. -10w + 15z + -15z = 0 + -15z Combine like terms: 15z + -15z = 0 -10w + 0 = 0 + -15z -10w = 0 + -15z Remove the zero: -10w = -15z Divide each side by '-10'. w = 1.5z Simplifying w = 1.5z
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