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Simplifying 5(2 + 6) + -2 = 9z Combine like terms: 2 + 6 = 8 5(8) + -2 = 9z Multiply 5 * 8 40 + -2 = 9z Combine like terms: 40 + -2 = 38 38 = 9z Solving 38 = 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 38 + -9z = 9z + -9z Combine like terms: 9z + -9z = 0 38 + -9z = 0 Add '-38' to each side of the equation. 38 + -38 + -9z = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -9z = 0 + -38 -9z = 0 + -38 Combine like terms: 0 + -38 = -38 -9z = -38 Divide each side by '-9'. z = 4.222222222 Simplifying z = 4.222222222
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