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Simplifying 3(2x + -5a) + 4b = 4x + -2 Reorder the terms: 3(-5a + 2x) + 4b = 4x + -2 (-5a * 3 + 2x * 3) + 4b = 4x + -2 (-15a + 6x) + 4b = 4x + -2 Reorder the terms: -15a + 4b + 6x = 4x + -2 Reorder the terms: -15a + 4b + 6x = -2 + 4x Solving -15a + 4b + 6x = -2 + 4x 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. -15a + 4b + -4b + 6x = -2 + -4b + 4x Combine like terms: 4b + -4b = 0 -15a + 0 + 6x = -2 + -4b + 4x -15a + 6x = -2 + -4b + 4x Add '-6x' to each side of the equation. -15a + 6x + -6x = -2 + -4b + 4x + -6x Combine like terms: 6x + -6x = 0 -15a + 0 = -2 + -4b + 4x + -6x -15a = -2 + -4b + 4x + -6x Combine like terms: 4x + -6x = -2x -15a = -2 + -4b + -2x Divide each side by '-15'. a = 0.1333333333 + 0.2666666667b + 0.1333333333x Simplifying a = 0.1333333333 + 0.2666666667b + 0.1333333333x
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