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Simplifying 2(3.6z + 19.93) + -3.4z = -19.6z + -19.94 + 18.2z Reorder the terms: 2(19.93 + 3.6z) + -3.4z = -19.6z + -19.94 + 18.2z (19.93 * 2 + 3.6z * 2) + -3.4z = -19.6z + -19.94 + 18.2z (39.86 + 7.2z) + -3.4z = -19.6z + -19.94 + 18.2z Combine like terms: 7.2z + -3.4z = 3.8z 39.86 + 3.8z = -19.6z + -19.94 + 18.2z Reorder the terms: 39.86 + 3.8z = -19.94 + -19.6z + 18.2z Combine like terms: -19.6z + 18.2z = -1.4z 39.86 + 3.8z = -19.94 + -1.4z Solving 39.86 + 3.8z = -19.94 + -1.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.4z' to each side of the equation. 39.86 + 3.8z + 1.4z = -19.94 + -1.4z + 1.4z Combine like terms: 3.8z + 1.4z = 5.2z 39.86 + 5.2z = -19.94 + -1.4z + 1.4z Combine like terms: -1.4z + 1.4z = 0.0 39.86 + 5.2z = -19.94 + 0.0 39.86 + 5.2z = -19.94 Add '-39.86' to each side of the equation. 39.86 + -39.86 + 5.2z = -19.94 + -39.86 Combine like terms: 39.86 + -39.86 = 0.00 0.00 + 5.2z = -19.94 + -39.86 5.2z = -19.94 + -39.86 Combine like terms: -19.94 + -39.86 = -59.8 5.2z = -59.8 Divide each side by '5.2'. z = -11.5 Simplifying z = -11.5
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