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Simplifying -39 = -8(a + -2) + -3(8a + -3) Reorder the terms: -39 = -8(-2 + a) + -3(8a + -3) -39 = (-2 * -8 + a * -8) + -3(8a + -3) -39 = (16 + -8a) + -3(8a + -3) Reorder the terms: -39 = 16 + -8a + -3(-3 + 8a) -39 = 16 + -8a + (-3 * -3 + 8a * -3) -39 = 16 + -8a + (9 + -24a) Reorder the terms: -39 = 16 + 9 + -8a + -24a Combine like terms: 16 + 9 = 25 -39 = 25 + -8a + -24a Combine like terms: -8a + -24a = -32a -39 = 25 + -32a Solving -39 = 25 + -32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32a' to each side of the equation. -39 + 32a = 25 + -32a + 32a Combine like terms: -32a + 32a = 0 -39 + 32a = 25 + 0 -39 + 32a = 25 Add '39' to each side of the equation. -39 + 39 + 32a = 25 + 39 Combine like terms: -39 + 39 = 0 0 + 32a = 25 + 39 32a = 25 + 39 Combine like terms: 25 + 39 = 64 32a = 64 Divide each side by '32'. a = 2 Simplifying a = 2
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