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Simplifying 5(2z + 1) + -6 = 49 Reorder the terms: 5(1 + 2z) + -6 = 49 (1 * 5 + 2z * 5) + -6 = 49 (5 + 10z) + -6 = 49 Reorder the terms: 5 + -6 + 10z = 49 Combine like terms: 5 + -6 = -1 -1 + 10z = 49 Solving -1 + 10z = 49 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 10z = 49 + 1 Combine like terms: -1 + 1 = 0 0 + 10z = 49 + 1 10z = 49 + 1 Combine like terms: 49 + 1 = 50 10z = 50 Divide each side by '10'. z = 5 Simplifying z = 5
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