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Simplifying 2z + 12 + -0.8z = 3.4 + -0.8z + -9.4 Reorder the terms: 12 + 2z + -0.8z = 3.4 + -0.8z + -9.4 Combine like terms: 2z + -0.8z = 1.2z 12 + 1.2z = 3.4 + -0.8z + -9.4 Reorder the terms: 12 + 1.2z = 3.4 + -9.4 + -0.8z Combine like terms: 3.4 + -9.4 = -6 12 + 1.2z = -6 + -0.8z Solving 12 + 1.2z = -6 + -0.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.8z' to each side of the equation. 12 + 1.2z + 0.8z = -6 + -0.8z + 0.8z Combine like terms: 1.2z + 0.8z = 2z 12 + 2z = -6 + -0.8z + 0.8z Combine like terms: -0.8z + 0.8z = 0.0 12 + 2z = -6 + 0.0 12 + 2z = -6 Add '-12' to each side of the equation. 12 + -12 + 2z = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = -6 + -12 2z = -6 + -12 Combine like terms: -6 + -12 = -18 2z = -18 Divide each side by '2'. z = -9 Simplifying z = -9
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