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Simplifying 2(3z + 1) + -7 = 43 Reorder the terms: 2(1 + 3z) + -7 = 43 (1 * 2 + 3z * 2) + -7 = 43 (2 + 6z) + -7 = 43 Reorder the terms: 2 + -7 + 6z = 43 Combine like terms: 2 + -7 = -5 -5 + 6z = 43 Solving -5 + 6z = 43 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 = 43 + 5 Combine like terms: -5 + 5 = 0 0 + 6z = 43 + 5 6z = 43 + 5 Combine like terms: 43 + 5 = 48 6z = 48 Divide each side by '6'. z = 8 Simplifying z = 8
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