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Simplifying 10 + -6(z + -8) = 9 + 2 Reorder the terms: 10 + -6(-8 + z) = 9 + 2 10 + (-8 * -6 + z * -6) = 9 + 2 10 + (48 + -6z) = 9 + 2 Combine like terms: 10 + 48 = 58 58 + -6z = 9 + 2 Combine like terms: 9 + 2 = 11 58 + -6z = 11 Solving 58 + -6z = 11 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -6z = 11 + -58 Combine like terms: 58 + -58 = 0 0 + -6z = 11 + -58 -6z = 11 + -58 Combine like terms: 11 + -58 = -47 -6z = -47 Divide each side by '-6'. z = 7.833333333 Simplifying z = 7.833333333
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