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Simplifying 2z + 5(3z + -6) = 0 Reorder the terms: 2z + 5(-6 + 3z) = 0 2z + (-6 * 5 + 3z * 5) = 0 2z + (-30 + 15z) = 0 Reorder the terms: -30 + 2z + 15z = 0 Combine like terms: 2z + 15z = 17z -30 + 17z = 0 Solving -30 + 17z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 17z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 17z = 0 + 30 17z = 0 + 30 Combine like terms: 0 + 30 = 30 17z = 30 Divide each side by '17'. z = 1.764705882 Simplifying z = 1.764705882
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