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Simplifying 7 + -1(3z + -9) = 5 + -4z Reorder the terms: 7 + -1(-9 + 3z) = 5 + -4z 7 + (-9 * -1 + 3z * -1) = 5 + -4z 7 + (9 + -3z) = 5 + -4z Combine like terms: 7 + 9 = 16 16 + -3z = 5 + -4z Solving 16 + -3z = 5 + -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. 16 + -3z + 4z = 5 + -4z + 4z Combine like terms: -3z + 4z = 1z 16 + 1z = 5 + -4z + 4z Combine like terms: -4z + 4z = 0 16 + 1z = 5 + 0 16 + 1z = 5 Add '-16' to each side of the equation. 16 + -16 + 1z = 5 + -16 Combine like terms: 16 + -16 = 0 0 + 1z = 5 + -16 1z = 5 + -16 Combine like terms: 5 + -16 = -11 1z = -11 Divide each side by '1'. z = -11 Simplifying z = -11
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