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Simplifying 10z + -9z + -7 + -10 = 53 Reorder the terms: -7 + -10 + 10z + -9z = 53 Combine like terms: -7 + -10 = -17 -17 + 10z + -9z = 53 Combine like terms: 10z + -9z = 1z -17 + 1z = 53 Solving -17 + 1z = 53 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1z = 53 + 17 Combine like terms: -17 + 17 = 0 0 + 1z = 53 + 17 1z = 53 + 17 Combine like terms: 53 + 17 = 70 1z = 70 Divide each side by '1'. z = 70 Simplifying z = 70
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