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Simplifying 1.7z + 12.67 + -15.1z = -0.9 + -15.7z Reorder the terms: 12.67 + 1.7z + -15.1z = -0.9 + -15.7z Combine like terms: 1.7z + -15.1z = -13.4z 12.67 + -13.4z = -0.9 + -15.7z Solving 12.67 + -13.4z = -0.9 + -15.7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15.7z' to each side of the equation. 12.67 + -13.4z + 15.7z = -0.9 + -15.7z + 15.7z Combine like terms: -13.4z + 15.7z = 2.3z 12.67 + 2.3z = -0.9 + -15.7z + 15.7z Combine like terms: -15.7z + 15.7z = 0.0 12.67 + 2.3z = -0.9 + 0.0 12.67 + 2.3z = -0.9 Add '-12.67' to each side of the equation. 12.67 + -12.67 + 2.3z = -0.9 + -12.67 Combine like terms: 12.67 + -12.67 = 0.00 0.00 + 2.3z = -0.9 + -12.67 2.3z = -0.9 + -12.67 Combine like terms: -0.9 + -12.67 = -13.57 2.3z = -13.57 Divide each side by '2.3'. z = -5.9 Simplifying z = -5.9
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