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Simplifying 3(2a + 4) = -4a + -38 Reorder the terms: 3(4 + 2a) = -4a + -38 (4 * 3 + 2a * 3) = -4a + -38 (12 + 6a) = -4a + -38 Reorder the terms: 12 + 6a = -38 + -4a Solving 12 + 6a = -38 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 12 + 6a + 4a = -38 + -4a + 4a Combine like terms: 6a + 4a = 10a 12 + 10a = -38 + -4a + 4a Combine like terms: -4a + 4a = 0 12 + 10a = -38 + 0 12 + 10a = -38 Add '-12' to each side of the equation. 12 + -12 + 10a = -38 + -12 Combine like terms: 12 + -12 = 0 0 + 10a = -38 + -12 10a = -38 + -12 Combine like terms: -38 + -12 = -50 10a = -50 Divide each side by '10'. a = -5 Simplifying a = -5
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