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Simplifying 2x(3 + -2a) + 9b = 3x + 4 (3 * 2x + -2a * 2x) + 9b = 3x + 4 Reorder the terms: (-4ax + 6x) + 9b = 3x + 4 (-4ax + 6x) + 9b = 3x + 4 Reorder the terms: -4ax + 9b + 6x = 3x + 4 Reorder the terms: -4ax + 9b + 6x = 4 + 3x Solving -4ax + 9b + 6x = 4 + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. -4ax + 9b + -9b + 6x = 4 + -9b + 3x Combine like terms: 9b + -9b = 0 -4ax + 0 + 6x = 4 + -9b + 3x -4ax + 6x = 4 + -9b + 3x Add '-6x' to each side of the equation. -4ax + 6x + -6x = 4 + -9b + 3x + -6x Combine like terms: 6x + -6x = 0 -4ax + 0 = 4 + -9b + 3x + -6x -4ax = 4 + -9b + 3x + -6x Combine like terms: 3x + -6x = -3x -4ax = 4 + -9b + -3x Divide each side by '-4x'. a = -1x-1 + 2.25bx-1 + 0.75 Simplifying a = -1x-1 + 2.25bx-1 + 0.75 Reorder the terms: a = 0.75 + 2.25bx-1 + -1x-1
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