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Simplifying -1z + 6 = z + 106 Reorder the terms: 6 + -1z = z + 106 Reorder the terms: 6 + -1z = 106 + z Solving 6 + -1z = 106 + 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. 6 + -1z + -1z = 106 + z + -1z Combine like terms: -1z + -1z = -2z 6 + -2z = 106 + z + -1z Combine like terms: z + -1z = 0 6 + -2z = 106 + 0 6 + -2z = 106 Add '-6' to each side of the equation. 6 + -6 + -2z = 106 + -6 Combine like terms: 6 + -6 = 0 0 + -2z = 106 + -6 -2z = 106 + -6 Combine like terms: 106 + -6 = 100 -2z = 100 Divide each side by '-2'. z = -50 Simplifying z = -50
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