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Simplifying z + 3z + 2z + 150 = 360 Reorder the terms: 150 + z + 3z + 2z = 360 Combine like terms: z + 3z = 4z 150 + 4z + 2z = 360 Combine like terms: 4z + 2z = 6z 150 + 6z = 360 Solving 150 + 6z = 360 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + 6z = 360 + -150 Combine like terms: 150 + -150 = 0 0 + 6z = 360 + -150 6z = 360 + -150 Combine like terms: 360 + -150 = 210 6z = 210 Divide each side by '6'. z = 35 Simplifying z = 35
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