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Simplifying 6z + -1(2z + -1) = 2z + 17 Reorder the terms: 6z + -1(-1 + 2z) = 2z + 17 6z + (-1 * -1 + 2z * -1) = 2z + 17 6z + (1 + -2z) = 2z + 17 Reorder the terms: 1 + 6z + -2z = 2z + 17 Combine like terms: 6z + -2z = 4z 1 + 4z = 2z + 17 Reorder the terms: 1 + 4z = 17 + 2z Solving 1 + 4z = 17 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 1 + 4z + -2z = 17 + 2z + -2z Combine like terms: 4z + -2z = 2z 1 + 2z = 17 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 2z = 17 + 0 1 + 2z = 17 Add '-1' to each side of the equation. 1 + -1 + 2z = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 2z = 17 + -1 2z = 17 + -1 Combine like terms: 17 + -1 = 16 2z = 16 Divide each side by '2'. z = 8 Simplifying z = 8
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