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Simplifying -5z + -12 + 20z = -11.4 + 15.6z Reorder the terms: -12 + -5z + 20z = -11.4 + 15.6z Combine like terms: -5z + 20z = 15z -12 + 15z = -11.4 + 15.6z Solving -12 + 15z = -11.4 + 15.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15.6z' to each side of the equation. -12 + 15z + -15.6z = -11.4 + 15.6z + -15.6z Combine like terms: 15z + -15.6z = -0.6z -12 + -0.6z = -11.4 + 15.6z + -15.6z Combine like terms: 15.6z + -15.6z = 0.0 -12 + -0.6z = -11.4 + 0.0 -12 + -0.6z = -11.4 Add '12' to each side of the equation. -12 + 12 + -0.6z = -11.4 + 12 Combine like terms: -12 + 12 = 0 0 + -0.6z = -11.4 + 12 -0.6z = -11.4 + 12 Combine like terms: -11.4 + 12 = 0.6 -0.6z = 0.6 Divide each side by '-0.6'. z = -1 Simplifying z = -1
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