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Simplifying 7(2z + 5) + -6z + -8 = 43 Reorder the terms: 7(5 + 2z) + -6z + -8 = 43 (5 * 7 + 2z * 7) + -6z + -8 = 43 (35 + 14z) + -6z + -8 = 43 Reorder the terms: 35 + -8 + 14z + -6z = 43 Combine like terms: 35 + -8 = 27 27 + 14z + -6z = 43 Combine like terms: 14z + -6z = 8z 27 + 8z = 43 Solving 27 + 8z = 43 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 8z = 43 + -27 Combine like terms: 27 + -27 = 0 0 + 8z = 43 + -27 8z = 43 + -27 Combine like terms: 43 + -27 = 16 8z = 16 Divide each side by '8'. z = 2 Simplifying z = 2
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