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Simplifying 2(4z + 1) + -7 = 35 Reorder the terms: 2(1 + 4z) + -7 = 35 (1 * 2 + 4z * 2) + -7 = 35 (2 + 8z) + -7 = 35 Reorder the terms: 2 + -7 + 8z = 35 Combine like terms: 2 + -7 = -5 -5 + 8z = 35 Solving -5 + 8z = 35 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 = 35 + 5 Combine like terms: -5 + 5 = 0 0 + 8z = 35 + 5 8z = 35 + 5 Combine like terms: 35 + 5 = 40 8z = 40 Divide each side by '8'. z = 5 Simplifying z = 5
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