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Simplifying -6 + z = 6z + 7 + 5z Reorder the terms: -6 + z = 7 + 6z + 5z Combine like terms: 6z + 5z = 11z -6 + z = 7 + 11z Solving -6 + z = 7 + 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. -6 + z + -11z = 7 + 11z + -11z Combine like terms: z + -11z = -10z -6 + -10z = 7 + 11z + -11z Combine like terms: 11z + -11z = 0 -6 + -10z = 7 + 0 -6 + -10z = 7 Add '6' to each side of the equation. -6 + 6 + -10z = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -10z = 7 + 6 -10z = 7 + 6 Combine like terms: 7 + 6 = 13 -10z = 13 Divide each side by '-10'. z = -1.3 Simplifying z = -1.3
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