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Simplifying -8(-1a + -4) = 6(a + 3) Reorder the terms: -8(-4 + -1a) = 6(a + 3) (-4 * -8 + -1a * -8) = 6(a + 3) (32 + 8a) = 6(a + 3) Reorder the terms: 32 + 8a = 6(3 + a) 32 + 8a = (3 * 6 + a * 6) 32 + 8a = (18 + 6a) Solving 32 + 8a = 18 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 32 + 8a + -6a = 18 + 6a + -6a Combine like terms: 8a + -6a = 2a 32 + 2a = 18 + 6a + -6a Combine like terms: 6a + -6a = 0 32 + 2a = 18 + 0 32 + 2a = 18 Add '-32' to each side of the equation. 32 + -32 + 2a = 18 + -32 Combine like terms: 32 + -32 = 0 0 + 2a = 18 + -32 2a = 18 + -32 Combine like terms: 18 + -32 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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