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Simplifying 8a + 3a + 8 = 9a + -2a + -16 Reorder the terms: 8 + 8a + 3a = 9a + -2a + -16 Combine like terms: 8a + 3a = 11a 8 + 11a = 9a + -2a + -16 Reorder the terms: 8 + 11a = -16 + 9a + -2a Combine like terms: 9a + -2a = 7a 8 + 11a = -16 + 7a Solving 8 + 11a = -16 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 8 + 11a + -7a = -16 + 7a + -7a Combine like terms: 11a + -7a = 4a 8 + 4a = -16 + 7a + -7a Combine like terms: 7a + -7a = 0 8 + 4a = -16 + 0 8 + 4a = -16 Add '-8' to each side of the equation. 8 + -8 + 4a = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 4a = -16 + -8 4a = -16 + -8 Combine like terms: -16 + -8 = -24 4a = -24 Divide each side by '4'. a = -6 Simplifying a = -6
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