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Simplifying 6z + -1(3z + -1) = 7z + -11 Reorder the terms: 6z + -1(-1 + 3z) = 7z + -11 6z + (-1 * -1 + 3z * -1) = 7z + -11 6z + (1 + -3z) = 7z + -11 Reorder the terms: 1 + 6z + -3z = 7z + -11 Combine like terms: 6z + -3z = 3z 1 + 3z = 7z + -11 Reorder the terms: 1 + 3z = -11 + 7z Solving 1 + 3z = -11 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 1 + 3z + -7z = -11 + 7z + -7z Combine like terms: 3z + -7z = -4z 1 + -4z = -11 + 7z + -7z Combine like terms: 7z + -7z = 0 1 + -4z = -11 + 0 1 + -4z = -11 Add '-1' to each side of the equation. 1 + -1 + -4z = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -4z = -11 + -1 -4z = -11 + -1 Combine like terms: -11 + -1 = -12 -4z = -12 Divide each side by '-4'. z = 3 Simplifying z = 3
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