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Simplifying -14.2z + 3.59 + 16z = -19.41 + -3.2z Reorder the terms: 3.59 + -14.2z + 16z = -19.41 + -3.2z Combine like terms: -14.2z + 16z = 1.8z 3.59 + 1.8z = -19.41 + -3.2z Solving 3.59 + 1.8z = -19.41 + -3.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3.2z' to each side of the equation. 3.59 + 1.8z + 3.2z = -19.41 + -3.2z + 3.2z Combine like terms: 1.8z + 3.2z = 5z 3.59 + 5z = -19.41 + -3.2z + 3.2z Combine like terms: -3.2z + 3.2z = 0.0 3.59 + 5z = -19.41 + 0.0 3.59 + 5z = -19.41 Add '-3.59' to each side of the equation. 3.59 + -3.59 + 5z = -19.41 + -3.59 Combine like terms: 3.59 + -3.59 = 0.00 0.00 + 5z = -19.41 + -3.59 5z = -19.41 + -3.59 Combine like terms: -19.41 + -3.59 = -23 5z = -23 Divide each side by '5'. z = -4.6 Simplifying z = -4.6
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