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Simplifying -8(3a + 6) = 39 + 5a Reorder the terms: -8(6 + 3a) = 39 + 5a (6 * -8 + 3a * -8) = 39 + 5a (-48 + -24a) = 39 + 5a Solving -48 + -24a = 39 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -48 + -24a + -5a = 39 + 5a + -5a Combine like terms: -24a + -5a = -29a -48 + -29a = 39 + 5a + -5a Combine like terms: 5a + -5a = 0 -48 + -29a = 39 + 0 -48 + -29a = 39 Add '48' to each side of the equation. -48 + 48 + -29a = 39 + 48 Combine like terms: -48 + 48 = 0 0 + -29a = 39 + 48 -29a = 39 + 48 Combine like terms: 39 + 48 = 87 -29a = 87 Divide each side by '-29'. a = -3 Simplifying a = -3
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