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Simplifying 3x(a + 2) + -4 = 2x(a + -3) + 6 Reorder the terms: 3x(2 + a) + -4 = 2x(a + -3) + 6 (2 * 3x + a * 3x) + -4 = 2x(a + -3) + 6 Reorder the terms: (3ax + 6x) + -4 = 2x(a + -3) + 6 (3ax + 6x) + -4 = 2x(a + -3) + 6 Reorder the terms: -4 + 3ax + 6x = 2x(a + -3) + 6 Reorder the terms: -4 + 3ax + 6x = 2x(-3 + a) + 6 -4 + 3ax + 6x = (-3 * 2x + a * 2x) + 6 Reorder the terms: -4 + 3ax + 6x = (2ax + -6x) + 6 -4 + 3ax + 6x = (2ax + -6x) + 6 Reorder the terms: -4 + 3ax + 6x = 6 + 2ax + -6x Solving -4 + 3ax + 6x = 6 + 2ax + -6x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2ax' to each side of the equation. -4 + 3ax + -2ax + 6x = 6 + 2ax + -2ax + -6x Combine like terms: 3ax + -2ax = 1ax -4 + 1ax + 6x = 6 + 2ax + -2ax + -6x Combine like terms: 2ax + -2ax = 0 -4 + 1ax + 6x = 6 + 0 + -6x -4 + 1ax + 6x = 6 + -6x Add '4' to each side of the equation. -4 + 1ax + 4 + 6x = 6 + 4 + -6x Reorder the terms: -4 + 4 + 1ax + 6x = 6 + 4 + -6x Combine like terms: -4 + 4 = 0 0 + 1ax + 6x = 6 + 4 + -6x 1ax + 6x = 6 + 4 + -6x Combine like terms: 6 + 4 = 10 1ax + 6x = 10 + -6x Add '-6x' to each side of the equation. 1ax + 6x + -6x = 10 + -6x + -6x Combine like terms: 6x + -6x = 0 1ax + 0 = 10 + -6x + -6x 1ax = 10 + -6x + -6x Combine like terms: -6x + -6x = -12x 1ax = 10 + -12x Divide each side by '1x'. a = 10x-1 + -12 Simplifying a = 10x-1 + -12 Reorder the terms: a = -12 + 10x-1
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