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Simplifying 3(ax + -5a) + 4b = 4x + -2 Reorder the terms: 3(-5a + ax) + 4b = 4x + -2 (-5a * 3 + ax * 3) + 4b = 4x + -2 (-15a + 3ax) + 4b = 4x + -2 Reorder the terms: -15a + 3ax + 4b = -2 + 4x Solving -15a + 3ax + 4b = -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 + 3ax + 4b + -4b = -2 + -4b + 4x Combine like terms: 4b + -4b = 0 -15a + 3ax + 0 = -2 + -4b + 4x -15a + 3ax = -2 + -4b + 4x Reorder the terms: 2 + -15a + 3ax + 4b + -4x = -2 + -4b + 4x + 2 + 4b + -4x Reorder the terms: 2 + -15a + 3ax + 4b + -4x = -2 + 2 + -4b + 4b + 4x + -4x Combine like terms: -2 + 2 = 0 2 + -15a + 3ax + 4b + -4x = 0 + -4b + 4b + 4x + -4x 2 + -15a + 3ax + 4b + -4x = -4b + 4b + 4x + -4x Combine like terms: -4b + 4b = 0 2 + -15a + 3ax + 4b + -4x = 0 + 4x + -4x 2 + -15a + 3ax + 4b + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 2 + -15a + 3ax + 4b + -4x = 0 The solution to this equation could not be determined.
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