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Simplifying -4.1z + -5 = 1.2z + 3.7 Reorder the terms: -5 + -4.1z = 1.2z + 3.7 Reorder the terms: -5 + -4.1z = 3.7 + 1.2z Solving -5 + -4.1z = 3.7 + 1.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.2z' to each side of the equation. -5 + -4.1z + -1.2z = 3.7 + 1.2z + -1.2z Combine like terms: -4.1z + -1.2z = -5.3z -5 + -5.3z = 3.7 + 1.2z + -1.2z Combine like terms: 1.2z + -1.2z = 0.0 -5 + -5.3z = 3.7 + 0.0 -5 + -5.3z = 3.7 Add '5' to each side of the equation. -5 + 5 + -5.3z = 3.7 + 5 Combine like terms: -5 + 5 = 0 0 + -5.3z = 3.7 + 5 -5.3z = 3.7 + 5 Combine like terms: 3.7 + 5 = 8.7 -5.3z = 8.7 Divide each side by '-5.3'. z = -1.641509434 Simplifying z = -1.641509434
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