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Simplifying -3n(4b) + 2a(3b) = 0 Remove parenthesis around (4b) -3n * 4b + 2a(3b) = 0 Reorder the terms for easier multiplication: -3 * 4n * b + 2a(3b) = 0 Multiply -3 * 4 -12n * b + 2a(3b) = 0 Multiply n * b -12bn + 2a(3b) = 0 Remove parenthesis around (3b) -12bn + 2a * 3b = 0 Reorder the terms for easier multiplication: -12bn + 2 * 3a * b = 0 Multiply 2 * 3 -12bn + 6a * b = 0 Multiply a * b -12bn + 6ab = 0 Reorder the terms: 6ab + -12bn = 0 Solving 6ab + -12bn = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12bn' to each side of the equation. 6ab + -12bn + 12bn = 0 + 12bn Combine like terms: -12bn + 12bn = 0 6ab + 0 = 0 + 12bn 6ab = 0 + 12bn Remove the zero: 6ab = 12bn Divide each side by '6b'. a = 2n Simplifying a = 2n
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