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Simplifying 8(a + 1) + 4 = 3(2a + -8) + -16 Reorder the terms: 8(1 + a) + 4 = 3(2a + -8) + -16 (1 * 8 + a * 8) + 4 = 3(2a + -8) + -16 (8 + 8a) + 4 = 3(2a + -8) + -16 Reorder the terms: 8 + 4 + 8a = 3(2a + -8) + -16 Combine like terms: 8 + 4 = 12 12 + 8a = 3(2a + -8) + -16 Reorder the terms: 12 + 8a = 3(-8 + 2a) + -16 12 + 8a = (-8 * 3 + 2a * 3) + -16 12 + 8a = (-24 + 6a) + -16 Reorder the terms: 12 + 8a = -24 + -16 + 6a Combine like terms: -24 + -16 = -40 12 + 8a = -40 + 6a Solving 12 + 8a = -40 + 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. 12 + 8a + -6a = -40 + 6a + -6a Combine like terms: 8a + -6a = 2a 12 + 2a = -40 + 6a + -6a Combine like terms: 6a + -6a = 0 12 + 2a = -40 + 0 12 + 2a = -40 Add '-12' to each side of the equation. 12 + -12 + 2a = -40 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = -40 + -12 2a = -40 + -12 Combine like terms: -40 + -12 = -52 2a = -52 Divide each side by '2'. a = -26 Simplifying a = -26
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