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Simplifying 39(a + 4) = 4a + 12 + -1a Reorder the terms: 39(4 + a) = 4a + 12 + -1a (4 * 39 + a * 39) = 4a + 12 + -1a (156 + 39a) = 4a + 12 + -1a Reorder the terms: 156 + 39a = 12 + 4a + -1a Combine like terms: 4a + -1a = 3a 156 + 39a = 12 + 3a Solving 156 + 39a = 12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 156 + 39a + -3a = 12 + 3a + -3a Combine like terms: 39a + -3a = 36a 156 + 36a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 156 + 36a = 12 + 0 156 + 36a = 12 Add '-156' to each side of the equation. 156 + -156 + 36a = 12 + -156 Combine like terms: 156 + -156 = 0 0 + 36a = 12 + -156 36a = 12 + -156 Combine like terms: 12 + -156 = -144 36a = -144 Divide each side by '36'. a = -4 Simplifying a = -4
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