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Simplifying 3x(b + a) + -4b = 12 Reorder the terms: 3x(a + b) + -4b = 12 (a * 3x + b * 3x) + -4b = 12 (3ax + 3bx) + -4b = 12 Reorder the terms: 3ax + -4b + 3bx = 12 Solving 3ax + -4b + 3bx = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 3ax + -4b + 4b + 3bx = 12 + 4b Combine like terms: -4b + 4b = 0 3ax + 0 + 3bx = 12 + 4b 3ax + 3bx = 12 + 4b Add '-3bx' to each side of the equation. 3ax + 3bx + -3bx = 12 + 4b + -3bx Combine like terms: 3bx + -3bx = 0 3ax + 0 = 12 + 4b + -3bx 3ax = 12 + 4b + -3bx Divide each side by '3x'. a = 4x-1 + 1.333333333bx-1 + -1b Simplifying a = 4x-1 + 1.333333333bx-1 + -1b Reorder the terms: a = -1b + 1.333333333bx-1 + 4x-1
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