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Simplifying 4(2z + 1) + -7 = 45 Reorder the terms: 4(1 + 2z) + -7 = 45 (1 * 4 + 2z * 4) + -7 = 45 (4 + 8z) + -7 = 45 Reorder the terms: 4 + -7 + 8z = 45 Combine like terms: 4 + -7 = -3 -3 + 8z = 45 Solving -3 + 8z = 45 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8z = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 8z = 45 + 3 8z = 45 + 3 Combine like terms: 45 + 3 = 48 8z = 48 Divide each side by '8'. z = 6 Simplifying z = 6
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