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Simplifying 9 + -1(4z + -7) = 2 + -5z Reorder the terms: 9 + -1(-7 + 4z) = 2 + -5z 9 + (-7 * -1 + 4z * -1) = 2 + -5z 9 + (7 + -4z) = 2 + -5z Combine like terms: 9 + 7 = 16 16 + -4z = 2 + -5z Solving 16 + -4z = 2 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 16 + -4z + 5z = 2 + -5z + 5z Combine like terms: -4z + 5z = 1z 16 + 1z = 2 + -5z + 5z Combine like terms: -5z + 5z = 0 16 + 1z = 2 + 0 16 + 1z = 2 Add '-16' to each side of the equation. 16 + -16 + 1z = 2 + -16 Combine like terms: 16 + -16 = 0 0 + 1z = 2 + -16 1z = 2 + -16 Combine like terms: 2 + -16 = -14 1z = -14 Divide each side by '1'. z = -14 Simplifying z = -14
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