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Simplifying 0.1(-2z + -3) + 1.3z = 0 Reorder the terms: 0.1(-3 + -2z) + 1.3z = 0 (-3 * 0.1 + -2z * 0.1) + 1.3z = 0 (-0.3 + -0.2z) + 1.3z = 0 Combine like terms: -0.2z + 1.3z = 1.1z -0.3 + 1.1z = 0 Solving -0.3 + 1.1z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.3' to each side of the equation. -0.3 + 0.3 + 1.1z = 0 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 1.1z = 0 + 0.3 1.1z = 0 + 0.3 Combine like terms: 0 + 0.3 = 0.3 1.1z = 0.3 Divide each side by '1.1'. z = 0.2727272727 Simplifying z = 0.2727272727
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