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Simplifying Mx + 2a = 0.333(c + -1x) Reorder the terms: 2a + xM = 0.333(c + -1x) 2a + xM = (c * 0.333 + -1x * 0.333) 2a + xM = (0.333c + -0.333x) Solving 2a + xM = 0.333c + -0.333x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1xM' to each side of the equation. 2a + xM + -1xM = 0.333c + -0.333x + -1xM Combine like terms: xM + -1xM = 0 2a + 0 = 0.333c + -0.333x + -1xM 2a = 0.333c + -0.333x + -1xM Divide each side by '2'. a = 0.1665c + -0.1665x + -0.5xM Simplifying a = 0.1665c + -0.1665x + -0.5xM
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