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Simplifying 3x(a + -2b) + 3b = 0 (a * 3x + -2b * 3x) + 3b = 0 (3ax + -6bx) + 3b = 0 Reorder the terms: 3ax + 3b + -6bx = 0 Solving 3ax + 3b + -6bx = 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. 3ax + 3b + -3b + -6bx = 0 + -3b Combine like terms: 3b + -3b = 0 3ax + 0 + -6bx = 0 + -3b 3ax + -6bx = 0 + -3b Remove the zero: 3ax + -6bx = -3b Add '6bx' to each side of the equation. 3ax + -6bx + 6bx = -3b + 6bx Combine like terms: -6bx + 6bx = 0 3ax + 0 = -3b + 6bx 3ax = -3b + 6bx Divide each side by '3x'. a = -1bx-1 + 2b Simplifying a = -1bx-1 + 2b Reorder the terms: a = 2b + -1bx-1
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