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Simplifying 3(2x + -5a) + 4c = 3x + -6 Reorder the terms: 3(-5a + 2x) + 4c = 3x + -6 (-5a * 3 + 2x * 3) + 4c = 3x + -6 (-15a + 6x) + 4c = 3x + -6 Reorder the terms: -15a + 4c + 6x = 3x + -6 Reorder the terms: -15a + 4c + 6x = -6 + 3x Solving -15a + 4c + 6x = -6 + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4c' to each side of the equation. -15a + 4c + -4c + 6x = -6 + -4c + 3x Combine like terms: 4c + -4c = 0 -15a + 0 + 6x = -6 + -4c + 3x -15a + 6x = -6 + -4c + 3x Add '-6x' to each side of the equation. -15a + 6x + -6x = -6 + -4c + 3x + -6x Combine like terms: 6x + -6x = 0 -15a + 0 = -6 + -4c + 3x + -6x -15a = -6 + -4c + 3x + -6x Combine like terms: 3x + -6x = -3x -15a = -6 + -4c + -3x Divide each side by '-15'. a = 0.4 + 0.2666666667c + 0.2x Simplifying a = 0.4 + 0.2666666667c + 0.2x
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