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Simplifying z + 4(0.6 + -1z) = 2.1 z + (0.6 * 4 + -1z * 4) = 2.1 z + (2.4 + -4z) = 2.1 Reorder the terms: 2.4 + z + -4z = 2.1 Combine like terms: z + -4z = -3z 2.4 + -3z = 2.1 Solving 2.4 + -3z = 2.1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.4' to each side of the equation. 2.4 + -2.4 + -3z = 2.1 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -3z = 2.1 + -2.4 -3z = 2.1 + -2.4 Combine like terms: 2.1 + -2.4 = -0.3 -3z = -0.3 Divide each side by '-3'. z = 0.1 Simplifying z = 0.1
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