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Simplifying 2(z + 5) + -8z = -7 Reorder the terms: 2(5 + z) + -8z = -7 (5 * 2 + z * 2) + -8z = -7 (10 + 2z) + -8z = -7 Combine like terms: 2z + -8z = -6z 10 + -6z = -7 Solving 10 + -6z = -7 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -6z = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -6z = -7 + -10 -6z = -7 + -10 Combine like terms: -7 + -10 = -17 -6z = -17 Divide each side by '-6'. z = 2.833333333 Simplifying z = 2.833333333
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