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Simplifying z + 1.1z + 2.4 = -0.6(2 + 5) Reorder the terms: 2.4 + z + 1.1z = -0.6(2 + 5) Combine like terms: z + 1.1z = 2.1z 2.4 + 2.1z = -0.6(2 + 5) Combine like terms: 2 + 5 = 7 2.4 + 2.1z = -0.6(7) Multiply -0.6 * 7 2.4 + 2.1z = -4.2 Solving 2.4 + 2.1z = -4.2 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 + 2.1z = -4.2 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 2.1z = -4.2 + -2.4 2.1z = -4.2 + -2.4 Combine like terms: -4.2 + -2.4 = -6.6 2.1z = -6.6 Divide each side by '2.1'. z = -3.142857143 Simplifying z = -3.142857143
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