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Simplifying 2a + 4bc = 1a + -5bc Solving 2a + 4bc = 1a + -5bc Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 2a + -1a + 4bc = 1a + -1a + -5bc Combine like terms: 2a + -1a = 1a 1a + 4bc = 1a + -1a + -5bc Combine like terms: 1a + -1a = 0 1a + 4bc = 0 + -5bc 1a + 4bc = -5bc Add '-4bc' to each side of the equation. 1a + 4bc + -4bc = -5bc + -4bc Combine like terms: 4bc + -4bc = 0 1a + 0 = -5bc + -4bc 1a = -5bc + -4bc Combine like terms: -5bc + -4bc = -9bc 1a = -9bc Divide each side by '1'. a = -9bc Simplifying a = -9bc
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