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Simplifying 10(z + 5) + 2 = 6 Reorder the terms: 10(5 + z) + 2 = 6 (5 * 10 + z * 10) + 2 = 6 (50 + 10z) + 2 = 6 Reorder the terms: 50 + 2 + 10z = 6 Combine like terms: 50 + 2 = 52 52 + 10z = 6 Solving 52 + 10z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 10z = 6 + -52 Combine like terms: 52 + -52 = 0 0 + 10z = 6 + -52 10z = 6 + -52 Combine like terms: 6 + -52 = -46 10z = -46 Divide each side by '10'. z = -4.6 Simplifying z = -4.6
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