What does it mean when building a linear regression model when you add a control variable...

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What does it mean when building a linear regression model when you add a control variable and the coefficient for the independent variable of interest which was significant in the bivariate analysis becomes insignificant, but the size of the coefficient doesn't change? What does it mean when building a linear regression model when you add a control variable and the coefficient for the independent variable of interest which was significant in the bivariate analysis becomes insignificant, but the size of the coefficient doesn't change?