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Simplifying 5z + 10 = 180 + -1z + 50 Reorder the terms: 10 + 5z = 180 + -1z + 50 Reorder the terms: 10 + 5z = 180 + 50 + -1z Combine like terms: 180 + 50 = 230 10 + 5z = 230 + -1z Solving 10 + 5z = 230 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 10 + 5z + z = 230 + -1z + z Combine like terms: 5z + z = 6z 10 + 6z = 230 + -1z + z Combine like terms: -1z + z = 0 10 + 6z = 230 + 0 10 + 6z = 230 Add '-10' to each side of the equation. 10 + -10 + 6z = 230 + -10 Combine like terms: 10 + -10 = 0 0 + 6z = 230 + -10 6z = 230 + -10 Combine like terms: 230 + -10 = 220 6z = 220 Divide each side by '6'. z = 36.66666667 Simplifying z = 36.66666667
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