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Simplifying 2(3x + -1a) = 3(4x + -1a) + 20 Reorder the terms: 2(-1a + 3x) = 3(4x + -1a) + 20 (-1a * 2 + 3x * 2) = 3(4x + -1a) + 20 (-2a + 6x) = 3(4x + -1a) + 20 Reorder the terms: -2a + 6x = 3(-1a + 4x) + 20 -2a + 6x = (-1a * 3 + 4x * 3) + 20 -2a + 6x = (-3a + 12x) + 20 Reorder the terms: -2a + 6x = 20 + -3a + 12x Solving -2a + 6x = 20 + -3a + 12x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -2a + 3a + 6x = 20 + -3a + 3a + 12x Combine like terms: -2a + 3a = 1a 1a + 6x = 20 + -3a + 3a + 12x Combine like terms: -3a + 3a = 0 1a + 6x = 20 + 0 + 12x 1a + 6x = 20 + 12x Add '-6x' to each side of the equation. 1a + 6x + -6x = 20 + 12x + -6x Combine like terms: 6x + -6x = 0 1a + 0 = 20 + 12x + -6x 1a = 20 + 12x + -6x Combine like terms: 12x + -6x = 6x 1a = 20 + 6x Divide each side by '1'. a = 20 + 6x Simplifying a = 20 + 6x
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