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Simplifying z + 1.1z + -6 = 4(2 + 0.4) Reorder the terms: -6 + z + 1.1z = 4(2 + 0.4) Combine like terms: z + 1.1z = 2.1z -6 + 2.1z = 4(2 + 0.4) Combine like terms: 2 + 0.4 = 2.4 -6 + 2.1z = 4(2.4) Multiply 4 * 2.4 -6 + 2.1z = 9.6 Solving -6 + 2.1z = 9.6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 2.1z = 9.6 + 6 Combine like terms: -6 + 6 = 0 0 + 2.1z = 9.6 + 6 2.1z = 9.6 + 6 Combine like terms: 9.6 + 6 = 15.6 2.1z = 15.6 Divide each side by '2.1'. z = 7.428571429 Simplifying z = 7.428571429
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