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Simplifying -17.4z + 15.55 = -0.1z + 11.17 + 11.3 Reorder the terms: 15.55 + -17.4z = -0.1z + 11.17 + 11.3 Reorder the terms: 15.55 + -17.4z = 11.17 + 11.3 + -0.1z Combine like terms: 11.17 + 11.3 = 22.47 15.55 + -17.4z = 22.47 + -0.1z Solving 15.55 + -17.4z = 22.47 + -0.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.1z' to each side of the equation. 15.55 + -17.4z + 0.1z = 22.47 + -0.1z + 0.1z Combine like terms: -17.4z + 0.1z = -17.3z 15.55 + -17.3z = 22.47 + -0.1z + 0.1z Combine like terms: -0.1z + 0.1z = 0.0 15.55 + -17.3z = 22.47 + 0.0 15.55 + -17.3z = 22.47 Add '-15.55' to each side of the equation. 15.55 + -15.55 + -17.3z = 22.47 + -15.55 Combine like terms: 15.55 + -15.55 = 0.00 0.00 + -17.3z = 22.47 + -15.55 -17.3z = 22.47 + -15.55 Combine like terms: 22.47 + -15.55 = 6.92 -17.3z = 6.92 Divide each side by '-17.3'. z = -0.4 Simplifying z = -0.4
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