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Simplifying 6a + 5(2a + -3) = -39 + 8a Reorder the terms: 6a + 5(-3 + 2a) = -39 + 8a 6a + (-3 * 5 + 2a * 5) = -39 + 8a 6a + (-15 + 10a) = -39 + 8a Reorder the terms: -15 + 6a + 10a = -39 + 8a Combine like terms: 6a + 10a = 16a -15 + 16a = -39 + 8a Solving -15 + 16a = -39 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -15 + 16a + -8a = -39 + 8a + -8a Combine like terms: 16a + -8a = 8a -15 + 8a = -39 + 8a + -8a Combine like terms: 8a + -8a = 0 -15 + 8a = -39 + 0 -15 + 8a = -39 Add '15' to each side of the equation. -15 + 15 + 8a = -39 + 15 Combine like terms: -15 + 15 = 0 0 + 8a = -39 + 15 8a = -39 + 15 Combine like terms: -39 + 15 = -24 8a = -24 Divide each side by '8'. a = -3 Simplifying a = -3
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