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Simplifying 7(1 + -1z) = -4z + -11 (1 * 7 + -1z * 7) = -4z + -11 (7 + -7z) = -4z + -11 Reorder the terms: 7 + -7z = -11 + -4z Solving 7 + -7z = -11 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 7 + -7z + 4z = -11 + -4z + 4z Combine like terms: -7z + 4z = -3z 7 + -3z = -11 + -4z + 4z Combine like terms: -4z + 4z = 0 7 + -3z = -11 + 0 7 + -3z = -11 Add '-7' to each side of the equation. 7 + -7 + -3z = -11 + -7 Combine like terms: 7 + -7 = 0 0 + -3z = -11 + -7 -3z = -11 + -7 Combine like terms: -11 + -7 = -18 -3z = -18 Divide each side by '-3'. z = 6 Simplifying z = 6
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