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Simplifying 5(z + 3.41) = -7.89(2z + -4) + -5.67 Reorder the terms: 5(3.41 + z) = -7.89(2z + -4) + -5.67 (3.41 * 5 + z * 5) = -7.89(2z + -4) + -5.67 (17.05 + 5z) = -7.89(2z + -4) + -5.67 Reorder the terms: 17.05 + 5z = -7.89(-4 + 2z) + -5.67 17.05 + 5z = (-4 * -7.89 + 2z * -7.89) + -5.67 17.05 + 5z = (31.56 + -15.78z) + -5.67 Reorder the terms: 17.05 + 5z = 31.56 + -5.67 + -15.78z Combine like terms: 31.56 + -5.67 = 25.89 17.05 + 5z = 25.89 + -15.78z Solving 17.05 + 5z = 25.89 + -15.78z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15.78z' to each side of the equation. 17.05 + 5z + 15.78z = 25.89 + -15.78z + 15.78z Combine like terms: 5z + 15.78z = 20.78z 17.05 + 20.78z = 25.89 + -15.78z + 15.78z Combine like terms: -15.78z + 15.78z = 0.00 17.05 + 20.78z = 25.89 + 0.00 17.05 + 20.78z = 25.89 Add '-17.05' to each side of the equation. 17.05 + -17.05 + 20.78z = 25.89 + -17.05 Combine like terms: 17.05 + -17.05 = 0.00 0.00 + 20.78z = 25.89 + -17.05 20.78z = 25.89 + -17.05 Combine like terms: 25.89 + -17.05 = 8.84 20.78z = 8.84 Divide each side by '20.78'. z = 0.4254090472 Simplifying z = 0.4254090472
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