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Simplifying 2(z + -0.8) + -5.8 + -1.3z = 0 Reorder the terms: 2(-0.8 + z) + -5.8 + -1.3z = 0 (-0.8 * 2 + z * 2) + -5.8 + -1.3z = 0 (-1.6 + 2z) + -5.8 + -1.3z = 0 Reorder the terms: -1.6 + -5.8 + 2z + -1.3z = 0 Combine like terms: -1.6 + -5.8 = -7.4 -7.4 + 2z + -1.3z = 0 Combine like terms: 2z + -1.3z = 0.7z -7.4 + 0.7z = 0 Solving -7.4 + 0.7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7.4' to each side of the equation. -7.4 + 7.4 + 0.7z = 0 + 7.4 Combine like terms: -7.4 + 7.4 = 0.0 0.0 + 0.7z = 0 + 7.4 0.7z = 0 + 7.4 Combine like terms: 0 + 7.4 = 7.4 0.7z = 7.4 Divide each side by '0.7'. z = 10.57142857 Simplifying z = 10.57142857
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