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Simplifying (8ab + 3bc) + -1(12ab + -12ab + 5c) = 0 Remove parenthesis around (8ab + 3bc) 8ab + 3bc + -1(12ab + -12ab + 5c) = 0 Combine like terms: 12ab + -12ab = 0 8ab + 3bc + -1(0 + 5c) = 0 8ab + 3bc + -1(5c) = 0 Remove parenthesis around (5c) 8ab + 3bc + -1 * 5c = 0 Multiply -1 * 5 8ab + 3bc + -5c = 0 Solving 8ab + 3bc + -5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3bc' to each side of the equation. 8ab + 3bc + -3bc + -5c = 0 + -3bc Combine like terms: 3bc + -3bc = 0 8ab + 0 + -5c = 0 + -3bc 8ab + -5c = 0 + -3bc Remove the zero: 8ab + -5c = -3bc Add '5c' to each side of the equation. 8ab + -5c + 5c = -3bc + 5c Combine like terms: -5c + 5c = 0 8ab + 0 = -3bc + 5c 8ab = -3bc + 5c Divide each side by '8b'. a = -0.375c + 0.625b-1c Simplifying a = -0.375c + 0.625b-1c Reorder the terms: a = 0.625b-1c + -0.375c
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