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Simplifying 3x(2 + -3a) = 4 + -2x(4x + -3) (2 * 3x + -3a * 3x) = 4 + -2x(4x + -3) Reorder the terms: (-9ax + 6x) = 4 + -2x(4x + -3) (-9ax + 6x) = 4 + -2x(4x + -3) Reorder the terms: -9ax + 6x = 4 + -2x(-3 + 4x) -9ax + 6x = 4 + (-3 * -2x + 4x * -2x) -9ax + 6x = 4 + (6x + -8x2) Add '-6x' to each side of the equation. -9ax + 6x + -6x = 4 + 6x + -6x + -8x2 Combine like terms: 6x + -6x = 0 -9ax + 0 = 4 + 6x + -6x + -8x2 -9ax = 4 + 6x + -6x + -8x2 Combine like terms: 6x + -6x = 0 -9ax = 4 + 0 + -8x2 -9ax = 4 + -8x2 Solving -9ax = 4 + -8x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '-9x'. a = -0.4444444444x-1 + 0.8888888889x Simplifying a = -0.4444444444x-1 + 0.8888888889x
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