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Simplifying 7(7 + -3z) = -1z + -11 (7 * 7 + -3z * 7) = -1z + -11 (49 + -21z) = -1z + -11 Reorder the terms: 49 + -21z = -11 + -1z Solving 49 + -21z = -11 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 49 + -21z + z = -11 + -1z + z Combine like terms: -21z + z = -20z 49 + -20z = -11 + -1z + z Combine like terms: -1z + z = 0 49 + -20z = -11 + 0 49 + -20z = -11 Add '-49' to each side of the equation. 49 + -49 + -20z = -11 + -49 Combine like terms: 49 + -49 = 0 0 + -20z = -11 + -49 -20z = -11 + -49 Combine like terms: -11 + -49 = -60 -20z = -60 Divide each side by '-20'. z = 3 Simplifying z = 3
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