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Simplifying 20z + -5 + -12z = 10z + -8 Reorder the terms: -5 + 20z + -12z = 10z + -8 Combine like terms: 20z + -12z = 8z -5 + 8z = 10z + -8 Reorder the terms: -5 + 8z = -8 + 10z Solving -5 + 8z = -8 + 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. -5 + 8z + -10z = -8 + 10z + -10z Combine like terms: 8z + -10z = -2z -5 + -2z = -8 + 10z + -10z Combine like terms: 10z + -10z = 0 -5 + -2z = -8 + 0 -5 + -2z = -8 Add '5' to each side of the equation. -5 + 5 + -2z = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -2z = -8 + 5 -2z = -8 + 5 Combine like terms: -8 + 5 = -3 -2z = -3 Divide each side by '-2'. z = 1.5 Simplifying z = 1.5
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