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Simplifying -8 = z + 3 + 10z Reorder the terms: -8 = 3 + z + 10z Combine like terms: z + 10z = 11z -8 = 3 + 11z Solving -8 = 3 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -8 + -11z = 3 + 11z + -11z Combine like terms: 11z + -11z = 0 -8 + -11z = 3 + 0 -8 + -11z = 3 Add '8' to each side of the equation. -8 + 8 + -11z = 3 + 8 Combine like terms: -8 + 8 = 0 0 + -11z = 3 + 8 -11z = 3 + 8 Combine like terms: 3 + 8 = 11 -11z = 11 Divide each side by '-11'. z = -1 Simplifying z = -1
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