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Simplifying 9 + -5z = 12 + -1(6z + 7) Reorder the terms: 9 + -5z = 12 + -1(7 + 6z) 9 + -5z = 12 + (7 * -1 + 6z * -1) 9 + -5z = 12 + (-7 + -6z) Combine like terms: 12 + -7 = 5 9 + -5z = 5 + -6z Solving 9 + -5z = 5 + -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 = 5 + -6z + 6z Combine like terms: -5z + 6z = 1z 9 + 1z = 5 + -6z + 6z Combine like terms: -6z + 6z = 0 9 + 1z = 5 + 0 9 + 1z = 5 Add '-9' to each side of the equation. 9 + -9 + 1z = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 5 + -9 1z = 5 + -9 Combine like terms: 5 + -9 = -4 1z = -4 Divide each side by '1'. z = -4 Simplifying z = -4
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