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Simplifying -10z + -0.5 = -20 + 1.6 Reorder the terms: -0.5 + -10z = -20 + 1.6 Combine like terms: -20 + 1.6 = -18.4 -0.5 + -10z = -18.4 Solving -0.5 + -10z = -18.4 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + -10z = -18.4 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -10z = -18.4 + 0.5 -10z = -18.4 + 0.5 Combine like terms: -18.4 + 0.5 = -17.9 -10z = -17.9 Divide each side by '-10'. z = 1.79 Simplifying z = 1.79
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