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Simplifying -1z + -9 = z + 13 Reorder the terms: -9 + -1z = z + 13 Reorder the terms: -9 + -1z = 13 + z Solving -9 + -1z = 13 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -9 + -1z + -1z = 13 + z + -1z Combine like terms: -1z + -1z = -2z -9 + -2z = 13 + z + -1z Combine like terms: z + -1z = 0 -9 + -2z = 13 + 0 -9 + -2z = 13 Add '9' to each side of the equation. -9 + 9 + -2z = 13 + 9 Combine like terms: -9 + 9 = 0 0 + -2z = 13 + 9 -2z = 13 + 9 Combine like terms: 13 + 9 = 22 -2z = 22 Divide each side by '-2'. z = -11 Simplifying z = -11
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