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Simplifying 3(2z + 1) + -8 = 49 Reorder the terms: 3(1 + 2z) + -8 = 49 (1 * 3 + 2z * 3) + -8 = 49 (3 + 6z) + -8 = 49 Reorder the terms: 3 + -8 + 6z = 49 Combine like terms: 3 + -8 = -5 -5 + 6z = 49 Solving -5 + 6z = 49 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6z = 49 + 5 Combine like terms: -5 + 5 = 0 0 + 6z = 49 + 5 6z = 49 + 5 Combine like terms: 49 + 5 = 54 6z = 54 Divide each side by '6'. z = 9 Simplifying z = 9
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