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Simplifying 6z + -3 + 8z + -5 = 12z + -4 + -2z + -2 Reorder the terms: -3 + -5 + 6z + 8z = 12z + -4 + -2z + -2 Combine like terms: -3 + -5 = -8 -8 + 6z + 8z = 12z + -4 + -2z + -2 Combine like terms: 6z + 8z = 14z -8 + 14z = 12z + -4 + -2z + -2 Reorder the terms: -8 + 14z = -4 + -2 + 12z + -2z Combine like terms: -4 + -2 = -6 -8 + 14z = -6 + 12z + -2z Combine like terms: 12z + -2z = 10z -8 + 14z = -6 + 10z Solving -8 + 14z = -6 + 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. -8 + 14z + -10z = -6 + 10z + -10z Combine like terms: 14z + -10z = 4z -8 + 4z = -6 + 10z + -10z Combine like terms: 10z + -10z = 0 -8 + 4z = -6 + 0 -8 + 4z = -6 Add '8' to each side of the equation. -8 + 8 + 4z = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 4z = -6 + 8 4z = -6 + 8 Combine like terms: -6 + 8 = 2 4z = 2 Divide each side by '4'. z = 0.5 Simplifying z = 0.5
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