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Simplifying 39 + 3a = -8(2a + 3) + 6 Reorder the terms: 39 + 3a = -8(3 + 2a) + 6 39 + 3a = (3 * -8 + 2a * -8) + 6 39 + 3a = (-24 + -16a) + 6 Reorder the terms: 39 + 3a = -24 + 6 + -16a Combine like terms: -24 + 6 = -18 39 + 3a = -18 + -16a Solving 39 + 3a = -18 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. 39 + 3a + 16a = -18 + -16a + 16a Combine like terms: 3a + 16a = 19a 39 + 19a = -18 + -16a + 16a Combine like terms: -16a + 16a = 0 39 + 19a = -18 + 0 39 + 19a = -18 Add '-39' to each side of the equation. 39 + -39 + 19a = -18 + -39 Combine like terms: 39 + -39 = 0 0 + 19a = -18 + -39 19a = -18 + -39 Combine like terms: -18 + -39 = -57 19a = -57 Divide each side by '19'. a = -3 Simplifying a = -3
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