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Simplifying 2a2 + -3ab + -6 + 4b2 + 7 + 5ab + -3b + -2a2 = 0 Reorder the terms: -6 + 7 + -3ab + 5ab + 2a2 + -2a2 + -3b + 4b2 = 0 Combine like terms: -6 + 7 = 1 1 + -3ab + 5ab + 2a2 + -2a2 + -3b + 4b2 = 0 Combine like terms: -3ab + 5ab = 2ab 1 + 2ab + 2a2 + -2a2 + -3b + 4b2 = 0 Combine like terms: 2a2 + -2a2 = 0 1 + 2ab + 0 + -3b + 4b2 = 0 1 + 2ab + -3b + 4b2 = 0 Solving 1 + 2ab + -3b + 4b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2ab + -3b + -1 + 4b2 = 0 + -1 Reorder the terms: 1 + -1 + 2ab + -3b + 4b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2ab + -3b + 4b2 = 0 + -1 2ab + -3b + 4b2 = 0 + -1 Combine like terms: 0 + -1 = -1 2ab + -3b + 4b2 = -1 Add '3b' to each side of the equation. 2ab + -3b + 3b + 4b2 = -1 + 3b Combine like terms: -3b + 3b = 0 2ab + 0 + 4b2 = -1 + 3b 2ab + 4b2 = -1 + 3b Add '-4b2' to each side of the equation. 2ab + 4b2 + -4b2 = -1 + 3b + -4b2 Combine like terms: 4b2 + -4b2 = 0 2ab + 0 = -1 + 3b + -4b2 2ab = -1 + 3b + -4b2 Divide each side by '2b'. a = -0.5b-1 + 1.5 + -2b Simplifying a = -0.5b-1 + 1.5 + -2b Reorder the terms: a = 1.5 + -0.5b-1 + -2b
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