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Simplifying 2(2a + 2ab + 2bc) = 4a + 4b + 4c (2a * 2 + 2ab * 2 + 2bc * 2) = 4a + 4b + 4c (4a + 4ab + 4bc) = 4a + 4b + 4c Add '-4a' to each side of the equation. 4a + 4ab + -4a + 4bc = 4a + 4b + -4a + 4c Reorder the terms: 4a + -4a + 4ab + 4bc = 4a + 4b + -4a + 4c Combine like terms: 4a + -4a = 0 0 + 4ab + 4bc = 4a + 4b + -4a + 4c 4ab + 4bc = 4a + 4b + -4a + 4c Reorder the terms: 4ab + 4bc = 4a + -4a + 4b + 4c Combine like terms: 4a + -4a = 0 4ab + 4bc = 0 + 4b + 4c 4ab + 4bc = 4b + 4c Solving 4ab + 4bc = 4b + 4c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4bc' to each side of the equation. 4ab + 4bc + -4bc = 4b + -4bc + 4c Combine like terms: 4bc + -4bc = 0 4ab + 0 = 4b + -4bc + 4c 4ab = 4b + -4bc + 4c Divide each side by '4b'. a = 1 + -1c + b-1c Simplifying a = 1 + -1c + b-1c Reorder the terms: a = 1 + b-1c + -1c
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