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Simplifying 6(a + 4) + 16 = -38 Reorder the terms: 6(4 + a) + 16 = -38 (4 * 6 + a * 6) + 16 = -38 (24 + 6a) + 16 = -38 Reorder the terms: 24 + 16 + 6a = -38 Combine like terms: 24 + 16 = 40 40 + 6a = -38 Solving 40 + 6a = -38 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 6a = -38 + -40 Combine like terms: 40 + -40 = 0 0 + 6a = -38 + -40 6a = -38 + -40 Combine like terms: -38 + -40 = -78 6a = -78 Divide each side by '6'. a = -13 Simplifying a = -13
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