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Simplifying z + 5 = -2z + -6 Reorder the terms: 5 + z = -2z + -6 Reorder the terms: 5 + z = -6 + -2z Solving 5 + z = -6 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 5 + z + 2z = -6 + -2z + 2z Combine like terms: z + 2z = 3z 5 + 3z = -6 + -2z + 2z Combine like terms: -2z + 2z = 0 5 + 3z = -6 + 0 5 + 3z = -6 Add '-5' to each side of the equation. 5 + -5 + 3z = -6 + -5 Combine like terms: 5 + -5 = 0 0 + 3z = -6 + -5 3z = -6 + -5 Combine like terms: -6 + -5 = -11 3z = -11 Divide each side by '3'. z = -3.666666667 Simplifying z = -3.666666667
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