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Simplifying -1(0.2 + -0.4z) + -0.4 = z + -1.47 (0.2 * -1 + -0.4z * -1) + -0.4 = z + -1.47 (-0.2 + 0.4z) + -0.4 = z + -1.47 Reorder the terms: -0.2 + -0.4 + 0.4z = z + -1.47 Combine like terms: -0.2 + -0.4 = -0.6 -0.6 + 0.4z = z + -1.47 Reorder the terms: -0.6 + 0.4z = -1.47 + z Solving -0.6 + 0.4z = -1.47 + 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. -0.6 + 0.4z + -1z = -1.47 + z + -1z Combine like terms: 0.4z + -1z = -0.6z -0.6 + -0.6z = -1.47 + z + -1z Combine like terms: z + -1z = 0 -0.6 + -0.6z = -1.47 + 0 -0.6 + -0.6z = -1.47 Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.6z = -1.47 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.6z = -1.47 + 0.6 -0.6z = -1.47 + 0.6 Combine like terms: -1.47 + 0.6 = -0.87 -0.6z = -0.87 Divide each side by '-0.6'. z = 1.45 Simplifying z = 1.45
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