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Simplifying 12z + -9 = 8z + -13 Reorder the terms: -9 + 12z = 8z + -13 Reorder the terms: -9 + 12z = -13 + 8z Solving -9 + 12z = -13 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -9 + 12z + -8z = -13 + 8z + -8z Combine like terms: 12z + -8z = 4z -9 + 4z = -13 + 8z + -8z Combine like terms: 8z + -8z = 0 -9 + 4z = -13 + 0 -9 + 4z = -13 Add '9' to each side of the equation. -9 + 9 + 4z = -13 + 9 Combine like terms: -9 + 9 = 0 0 + 4z = -13 + 9 4z = -13 + 9 Combine like terms: -13 + 9 = -4 4z = -4 Divide each side by '4'. z = -1 Simplifying z = -1
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