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Simplifying 0.5(4 + -2z) = z + -1.8 (4 * 0.5 + -2z * 0.5) = z + -1.8 (2 + -1z) = z + -1.8 Reorder the terms: 2 + -1z = -1.8 + z Solving 2 + -1z = -1.8 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 2 + -1z + -1z = -1.8 + z + -1z Combine like terms: -1z + -1z = -2z 2 + -2z = -1.8 + z + -1z Combine like terms: z + -1z = 0 2 + -2z = -1.8 + 0 2 + -2z = -1.8 Add '-2' to each side of the equation. 2 + -2 + -2z = -1.8 + -2 Combine like terms: 2 + -2 = 0 0 + -2z = -1.8 + -2 -2z = -1.8 + -2 Combine like terms: -1.8 + -2 = -3.8 -2z = -3.8 Divide each side by '-2'. z = 1.9 Simplifying z = 1.9
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