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Simplifying a + b + 3a + -1bc + -3c = 0 Reorder the terms: a + 3a + b + -1bc + -3c = 0 Combine like terms: a + 3a = 4a 4a + b + -1bc + -3c = 0 Solving 4a + b + -1bc + -3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 4a + b + -1bc + -1b + -3c = 0 + -1b Reorder the terms: 4a + b + -1b + -1bc + -3c = 0 + -1b Combine like terms: b + -1b = 0 4a + 0 + -1bc + -3c = 0 + -1b 4a + -1bc + -3c = 0 + -1b Remove the zero: 4a + -1bc + -3c = -1b Add 'bc' to each side of the equation. 4a + -1bc + bc + -3c = -1b + bc Combine like terms: -1bc + bc = 0 4a + 0 + -3c = -1b + bc 4a + -3c = -1b + bc Add '3c' to each side of the equation. 4a + -3c + 3c = -1b + bc + 3c Combine like terms: -3c + 3c = 0 4a + 0 = -1b + bc + 3c 4a = -1b + bc + 3c Divide each side by '4'. a = -0.25b + 0.25bc + 0.75c Simplifying a = -0.25b + 0.25bc + 0.75c
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