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Simplifying (3a * 3b + -1c) + -1(3b + 3c + 3d) = 0 Reorder the terms for easier multiplication: (3 * 3a * b + -1c) + -1(3b + 3c + 3d) = 0 Multiply 3 * 3 (9a * b + -1c) + -1(3b + 3c + 3d) = 0 Multiply a * b (9ab + -1c) + -1(3b + 3c + 3d) = 0 Remove parenthesis around (9ab + -1c) 9ab + -1c + -1(3b + 3c + 3d) = 0 9ab + -1c + (3b * -1 + 3c * -1 + 3d * -1) = 0 9ab + -1c + (-3b + -3c + -3d) = 0 Reorder the terms: 9ab + -3b + -1c + -3c + -3d = 0 Combine like terms: -1c + -3c = -4c 9ab + -3b + -4c + -3d = 0 Solving 9ab + -3b + -4c + -3d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 9ab + -3b + -4c + 3b + -3d = 0 + 3b Reorder the terms: 9ab + -3b + 3b + -4c + -3d = 0 + 3b Combine like terms: -3b + 3b = 0 9ab + 0 + -4c + -3d = 0 + 3b 9ab + -4c + -3d = 0 + 3b Remove the zero: 9ab + -4c + -3d = 3b Add '4c' to each side of the equation. 9ab + -4c + 4c + -3d = 3b + 4c Combine like terms: -4c + 4c = 0 9ab + 0 + -3d = 3b + 4c 9ab + -3d = 3b + 4c Add '3d' to each side of the equation. 9ab + -3d + 3d = 3b + 4c + 3d Combine like terms: -3d + 3d = 0 9ab + 0 = 3b + 4c + 3d 9ab = 3b + 4c + 3d Divide each side by '9b'. a = 0.3333333333 + 0.4444444444b-1c + 0.3333333333b-1d Simplifying a = 0.3333333333 + 0.4444444444b-1c + 0.3333333333b-1d
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