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Simplifying 22(5 + -1z) + 13z = 65 (5 * 22 + -1z * 22) + 13z = 65 (110 + -22z) + 13z = 65 Combine like terms: -22z + 13z = -9z 110 + -9z = 65 Solving 110 + -9z = 65 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-110' to each side of the equation. 110 + -110 + -9z = 65 + -110 Combine like terms: 110 + -110 = 0 0 + -9z = 65 + -110 -9z = 65 + -110 Combine like terms: 65 + -110 = -45 -9z = -45 Divide each side by '-9'. z = 5 Simplifying z = 5
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