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Simplifying 5 + -2ab + -3bc + a * 3b + -1c * b * 4 = 0 Reorder the terms for easier multiplication: 5 + -2ab + -3bc + 3a * b + -1c * b * 4 = 0 Multiply a * b 5 + -2ab + -3bc + 3ab + -1c * b * 4 = 0 Reorder the terms for easier multiplication: 5 + -2ab + -3bc + 3ab + -1 * 4c * b = 0 Multiply -1 * 4 5 + -2ab + -3bc + 3ab + -4c * b = 0 Multiply c * b 5 + -2ab + -3bc + 3ab + -4bc = 0 Reorder the terms: 5 + -2ab + 3ab + -3bc + -4bc = 0 Combine like terms: -2ab + 3ab = 1ab 5 + 1ab + -3bc + -4bc = 0 Combine like terms: -3bc + -4bc = -7bc 5 + 1ab + -7bc = 0 Solving 5 + 1ab + -7bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 1ab + -5 + -7bc = 0 + -5 Reorder the terms: 5 + -5 + 1ab + -7bc = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1ab + -7bc = 0 + -5 1ab + -7bc = 0 + -5 Combine like terms: 0 + -5 = -5 1ab + -7bc = -5 Add '7bc' to each side of the equation. 1ab + -7bc + 7bc = -5 + 7bc Combine like terms: -7bc + 7bc = 0 1ab + 0 = -5 + 7bc 1ab = -5 + 7bc Divide each side by '1b'. a = -5b-1 + 7c Simplifying a = -5b-1 + 7c
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