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Simplifying 4(3a + 5) = 9(9a + -5) + 12a Reorder the terms: 4(5 + 3a) = 9(9a + -5) + 12a (5 * 4 + 3a * 4) = 9(9a + -5) + 12a (20 + 12a) = 9(9a + -5) + 12a Reorder the terms: 20 + 12a = 9(-5 + 9a) + 12a 20 + 12a = (-5 * 9 + 9a * 9) + 12a 20 + 12a = (-45 + 81a) + 12a Combine like terms: 81a + 12a = 93a 20 + 12a = -45 + 93a Solving 20 + 12a = -45 + 93a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-93a' to each side of the equation. 20 + 12a + -93a = -45 + 93a + -93a Combine like terms: 12a + -93a = -81a 20 + -81a = -45 + 93a + -93a Combine like terms: 93a + -93a = 0 20 + -81a = -45 + 0 20 + -81a = -45 Add '-20' to each side of the equation. 20 + -20 + -81a = -45 + -20 Combine like terms: 20 + -20 = 0 0 + -81a = -45 + -20 -81a = -45 + -20 Combine like terms: -45 + -20 = -65 -81a = -65 Divide each side by '-81'. a = 0.8024691358 Simplifying a = 0.8024691358
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