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Simplifying 10z + -15 + -4z = 8 + -2z + -23 + 12z Reorder the terms: -15 + 10z + -4z = 8 + -2z + -23 + 12z Combine like terms: 10z + -4z = 6z -15 + 6z = 8 + -2z + -23 + 12z Reorder the terms: -15 + 6z = 8 + -23 + -2z + 12z Combine like terms: 8 + -23 = -15 -15 + 6z = -15 + -2z + 12z Combine like terms: -2z + 12z = 10z -15 + 6z = -15 + 10z Add '15' to each side of the equation. -15 + 15 + 6z = -15 + 15 + 10z Combine like terms: -15 + 15 = 0 0 + 6z = -15 + 15 + 10z 6z = -15 + 15 + 10z Combine like terms: -15 + 15 = 0 6z = 0 + 10z 6z = 10z Solving 6z = 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. 6z + -10z = 10z + -10z Combine like terms: 6z + -10z = -4z -4z = 10z + -10z Combine like terms: 10z + -10z = 0 -4z = 0 Divide each side by '-4'. z = 0 Simplifying z = 0
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