Let \( \vec{a} = 2\hat{i} + 5\hat{j} - \hat{k} \), \( \vec{b} = 2\hat{i} - 2\hat{j} + 2\hat{k} \) and \( \vec{c} \) be three vectors such that \( (\vec{c} + \hat{i}) \times (\vec{a} + \vec{b} + \hat{i}) = \vec{a} \times (\vec{c} + \hat{i}) \). If \( \vec{a}\cdot\vec{c} = -29 \), then \( \vec{c}\cdot(-2\hat{i} + \hat{j} + \hat{k}) \) is equal to:
