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Simplifying -39 = 6(3a + -8) + -1(a + 8) Reorder the terms: -39 = 6(-8 + 3a) + -1(a + 8) -39 = (-8 * 6 + 3a * 6) + -1(a + 8) -39 = (-48 + 18a) + -1(a + 8) Reorder the terms: -39 = -48 + 18a + -1(8 + a) -39 = -48 + 18a + (8 * -1 + a * -1) -39 = -48 + 18a + (-8 + -1a) Reorder the terms: -39 = -48 + -8 + 18a + -1a Combine like terms: -48 + -8 = -56 -39 = -56 + 18a + -1a Combine like terms: 18a + -1a = 17a -39 = -56 + 17a Solving -39 = -56 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. -39 + -17a = -56 + 17a + -17a Combine like terms: 17a + -17a = 0 -39 + -17a = -56 + 0 -39 + -17a = -56 Add '39' to each side of the equation. -39 + 39 + -17a = -56 + 39 Combine like terms: -39 + 39 = 0 0 + -17a = -56 + 39 -17a = -56 + 39 Combine like terms: -56 + 39 = -17 -17a = -17 Divide each side by '-17'. a = 1 Simplifying a = 1
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