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Simplifying [z + -1] = 7z + -13 Reorder the terms: [-1 + z] = 7z + -13 Remove brackets around [-1 + z] -1 + z = 7z + -13 Reorder the terms: -1 + z = -13 + 7z Solving -1 + z = -13 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -1 + z + -7z = -13 + 7z + -7z Combine like terms: z + -7z = -6z -1 + -6z = -13 + 7z + -7z Combine like terms: 7z + -7z = 0 -1 + -6z = -13 + 0 -1 + -6z = -13 Add '1' to each side of the equation. -1 + 1 + -6z = -13 + 1 Combine like terms: -1 + 1 = 0 0 + -6z = -13 + 1 -6z = -13 + 1 Combine like terms: -13 + 1 = -12 -6z = -12 Divide each side by '-6'. z = 2 Simplifying z = 2
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