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Simplifying 6z + 20 = 10z + -24 Reorder the terms: 20 + 6z = 10z + -24 Reorder the terms: 20 + 6z = -24 + 10z Solving 20 + 6z = -24 + 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. 20 + 6z + -10z = -24 + 10z + -10z Combine like terms: 6z + -10z = -4z 20 + -4z = -24 + 10z + -10z Combine like terms: 10z + -10z = 0 20 + -4z = -24 + 0 20 + -4z = -24 Add '-20' to each side of the equation. 20 + -20 + -4z = -24 + -20 Combine like terms: 20 + -20 = 0 0 + -4z = -24 + -20 -4z = -24 + -20 Combine like terms: -24 + -20 = -44 -4z = -44 Divide each side by '-4'. z = 11 Simplifying z = 11
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