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Simplifying -2(8 + 3a) = -8(a + -1) + -6 (8 * -2 + 3a * -2) = -8(a + -1) + -6 (-16 + -6a) = -8(a + -1) + -6 Reorder the terms: -16 + -6a = -8(-1 + a) + -6 -16 + -6a = (-1 * -8 + a * -8) + -6 -16 + -6a = (8 + -8a) + -6 Reorder the terms: -16 + -6a = 8 + -6 + -8a Combine like terms: 8 + -6 = 2 -16 + -6a = 2 + -8a Solving -16 + -6a = 2 + -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. -16 + -6a + 8a = 2 + -8a + 8a Combine like terms: -6a + 8a = 2a -16 + 2a = 2 + -8a + 8a Combine like terms: -8a + 8a = 0 -16 + 2a = 2 + 0 -16 + 2a = 2 Add '16' to each side of the equation. -16 + 16 + 2a = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 2a = 2 + 16 2a = 2 + 16 Combine like terms: 2 + 16 = 18 2a = 18 Divide each side by '2'. a = 9 Simplifying a = 9
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