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Simplifying 4(3a + 32) + -3a + 9 = 47 Reorder the terms: 4(32 + 3a) + -3a + 9 = 47 (32 * 4 + 3a * 4) + -3a + 9 = 47 (128 + 12a) + -3a + 9 = 47 Reorder the terms: 128 + 9 + 12a + -3a = 47 Combine like terms: 128 + 9 = 137 137 + 12a + -3a = 47 Combine like terms: 12a + -3a = 9a 137 + 9a = 47 Solving 137 + 9a = 47 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-137' to each side of the equation. 137 + -137 + 9a = 47 + -137 Combine like terms: 137 + -137 = 0 0 + 9a = 47 + -137 9a = 47 + -137 Combine like terms: 47 + -137 = -90 9a = -90 Divide each side by '9'. a = -10 Simplifying a = -10
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