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Simplifying (0.2 + -0.4z) + -0.4 = z + -1.47 Remove parenthesis around (0.2 + -0.4z) 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 = -0.2 -0.2 + -0.4z = z + -1.47 Reorder the terms: -0.2 + -0.4z = -1.47 + z Solving -0.2 + -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. -0.2 + -0.4z + -1z = -1.47 + z + -1z Combine like terms: -0.4z + -1z = -1.4z -0.2 + -1.4z = -1.47 + z + -1z Combine like terms: z + -1z = 0 -0.2 + -1.4z = -1.47 + 0 -0.2 + -1.4z = -1.47 Add '0.2' to each side of the equation. -0.2 + 0.2 + -1.4z = -1.47 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -1.4z = -1.47 + 0.2 -1.4z = -1.47 + 0.2 Combine like terms: -1.47 + 0.2 = -1.27 -1.4z = -1.27 Divide each side by '-1.4'. z = 0.9071428571 Simplifying z = 0.9071428571
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