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Simplifying -11z + -14 = -8z + 13 + 3 Reorder the terms: -14 + -11z = -8z + 13 + 3 Reorder the terms: -14 + -11z = 13 + 3 + -8z Combine like terms: 13 + 3 = 16 -14 + -11z = 16 + -8z Solving -14 + -11z = 16 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -14 + -11z + 8z = 16 + -8z + 8z Combine like terms: -11z + 8z = -3z -14 + -3z = 16 + -8z + 8z Combine like terms: -8z + 8z = 0 -14 + -3z = 16 + 0 -14 + -3z = 16 Add '14' to each side of the equation. -14 + 14 + -3z = 16 + 14 Combine like terms: -14 + 14 = 0 0 + -3z = 16 + 14 -3z = 16 + 14 Combine like terms: 16 + 14 = 30 -3z = 30 Divide each side by '-3'. z = -10 Simplifying z = -10
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