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Simplifying -3(a + 5) + -6(8a + 4) = -5a + -7a Reorder the terms: -3(5 + a) + -6(8a + 4) = -5a + -7a (5 * -3 + a * -3) + -6(8a + 4) = -5a + -7a (-15 + -3a) + -6(8a + 4) = -5a + -7a Reorder the terms: -15 + -3a + -6(4 + 8a) = -5a + -7a -15 + -3a + (4 * -6 + 8a * -6) = -5a + -7a -15 + -3a + (-24 + -48a) = -5a + -7a Reorder the terms: -15 + -24 + -3a + -48a = -5a + -7a Combine like terms: -15 + -24 = -39 -39 + -3a + -48a = -5a + -7a Combine like terms: -3a + -48a = -51a -39 + -51a = -5a + -7a Combine like terms: -5a + -7a = -12a -39 + -51a = -12a Solving -39 + -51a = -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -39 + -51a + 12a = -12a + 12a Combine like terms: -51a + 12a = -39a -39 + -39a = -12a + 12a Combine like terms: -12a + 12a = 0 -39 + -39a = 0 Add '39' to each side of the equation. -39 + 39 + -39a = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -39a = 0 + 39 -39a = 0 + 39 Combine like terms: 0 + 39 = 39 -39a = 39 Divide each side by '-39'. a = -1 Simplifying a = -1
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