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Simplifying 1.4(z + -1z) = 0.4(z + 0.5) Combine like terms: z + -1z = 0 1.4(0) = 0.4(z + 0.5) Multiply 1.4 * 0 0.0 = 0.4(z + 0.5) Anything times zero is zero. 0.0 = 0.4(z + 0.5) Reorder the terms: 0.0 = 0.4(0.5 + z) 0.0 = (0.5 * 0.4 + z * 0.4) 0.0 = (0.2 + 0.4z) Solving 0.0 = 0.2 + 0.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.4z' to each side of the equation. 0.0 + -0.4z = 0.2 + 0.4z + -0.4z Remove the zero: -0.4z = 0.2 + 0.4z + -0.4z Combine like terms: 0.4z + -0.4z = 0.0 -0.4z = 0.2 + 0.0 -0.4z = 0.2 Divide each side by '-0.4'. z = -0.5 Simplifying z = -0.5
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