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Simplifying -4 + -13z = 20 + -10z Solving -4 + -13z = 20 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. -4 + -13z + 10z = 20 + -10z + 10z Combine like terms: -13z + 10z = -3z -4 + -3z = 20 + -10z + 10z Combine like terms: -10z + 10z = 0 -4 + -3z = 20 + 0 -4 + -3z = 20 Add '4' to each side of the equation. -4 + 4 + -3z = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -3z = 20 + 4 -3z = 20 + 4 Combine like terms: 20 + 4 = 24 -3z = 24 Divide each side by '-3'. z = -8 Simplifying z = -8
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