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Simplifying 4(2z + 1) + -9 = 43 Reorder the terms: 4(1 + 2z) + -9 = 43 (1 * 4 + 2z * 4) + -9 = 43 (4 + 8z) + -9 = 43 Reorder the terms: 4 + -9 + 8z = 43 Combine like terms: 4 + -9 = -5 -5 + 8z = 43 Solving -5 + 8z = 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 + 8z = 43 + 5 Combine like terms: -5 + 5 = 0 0 + 8z = 43 + 5 8z = 43 + 5 Combine like terms: 43 + 5 = 48 8z = 48 Divide each side by '8'. z = 6 Simplifying z = 6
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