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Simplifying -10z + 6 = z + -5 Reorder the terms: 6 + -10z = z + -5 Reorder the terms: 6 + -10z = -5 + z Solving 6 + -10z = -5 + 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 + -10z + -1z = -5 + z + -1z Combine like terms: -10z + -1z = -11z 6 + -11z = -5 + z + -1z Combine like terms: z + -1z = 0 6 + -11z = -5 + 0 6 + -11z = -5 Add '-6' to each side of the equation. 6 + -6 + -11z = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -11z = -5 + -6 -11z = -5 + -6 Combine like terms: -5 + -6 = -11 -11z = -11 Divide each side by '-11'. z = 1 Simplifying z = 1
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