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