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Simplifying 9 + -5z = 9 + -2 + -1(6z + 7) Reorder the terms: 9 + -5z = 9 + -2 + -1(7 + 6z) 9 + -5z = 9 + -2 + (7 * -1 + 6z * -1) 9 + -5z = 9 + -2 + (-7 + -6z) Combine like terms: 9 + -2 = 7 9 + -5z = 7 + -7 + -6z Combine like terms: 7 + -7 = 0 9 + -5z = 0 + -6z 9 + -5z = -6z Solving 9 + -5z = -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 9 + -5z + 6z = -6z + 6z Combine like terms: -5z + 6z = 1z 9 + 1z = -6z + 6z Combine like terms: -6z + 6z = 0 9 + 1z = 0 Add '-9' to each side of the equation. 9 + -9 + 1z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 0 + -9 1z = 0 + -9 Combine like terms: 0 + -9 = -9 1z = -9 Divide each side by '1'. z = -9 Simplifying z = -9
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