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Simplifying 3z + -30 + 6z = 10z + -50 Reorder the terms: -30 + 3z + 6z = 10z + -50 Combine like terms: 3z + 6z = 9z -30 + 9z = 10z + -50 Reorder the terms: -30 + 9z = -50 + 10z Solving -30 + 9z = -50 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -30 + 9z + -10z = -50 + 10z + -10z Combine like terms: 9z + -10z = -1z -30 + -1z = -50 + 10z + -10z Combine like terms: 10z + -10z = 0 -30 + -1z = -50 + 0 -30 + -1z = -50 Add '30' to each side of the equation. -30 + 30 + -1z = -50 + 30 Combine like terms: -30 + 30 = 0 0 + -1z = -50 + 30 -1z = -50 + 30 Combine like terms: -50 + 30 = -20 -1z = -20 Divide each side by '-1'. z = 20 Simplifying z = 20
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