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Simplifying 8z + 9 + -12z = 4z + -13 + -5z Reorder the terms: 9 + 8z + -12z = 4z + -13 + -5z Combine like terms: 8z + -12z = -4z 9 + -4z = 4z + -13 + -5z Reorder the terms: 9 + -4z = -13 + 4z + -5z Combine like terms: 4z + -5z = -1z 9 + -4z = -13 + -1z Solving 9 + -4z = -13 + -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 + -4z + z = -13 + -1z + z Combine like terms: -4z + z = -3z 9 + -3z = -13 + -1z + z Combine like terms: -1z + z = 0 9 + -3z = -13 + 0 9 + -3z = -13 Add '-9' to each side of the equation. 9 + -9 + -3z = -13 + -9 Combine like terms: 9 + -9 = 0 0 + -3z = -13 + -9 -3z = -13 + -9 Combine like terms: -13 + -9 = -22 -3z = -22 Divide each side by '-3'. z = 7.333333333 Simplifying z = 7.333333333
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