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Simplifying -8z + 2(z + 4) = -58 Reorder the terms: -8z + 2(4 + z) = -58 -8z + (4 * 2 + z * 2) = -58 -8z + (8 + 2z) = -58 Reorder the terms: 8 + -8z + 2z = -58 Combine like terms: -8z + 2z = -6z 8 + -6z = -58 Solving 8 + -6z = -58 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -6z = -58 + -8 Combine like terms: 8 + -8 = 0 0 + -6z = -58 + -8 -6z = -58 + -8 Combine like terms: -58 + -8 = -66 -6z = -66 Divide each side by '-6'. z = 11 Simplifying z = 11
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