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Simplifying 4 + 8a + -3 = 8a + -6a + -11 Reorder the terms: 4 + -3 + 8a = 8a + -6a + -11 Combine like terms: 4 + -3 = 1 1 + 8a = 8a + -6a + -11 Reorder the terms: 1 + 8a = -11 + 8a + -6a Combine like terms: 8a + -6a = 2a 1 + 8a = -11 + 2a Solving 1 + 8a = -11 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 1 + 8a + -2a = -11 + 2a + -2a Combine like terms: 8a + -2a = 6a 1 + 6a = -11 + 2a + -2a Combine like terms: 2a + -2a = 0 1 + 6a = -11 + 0 1 + 6a = -11 Add '-1' to each side of the equation. 1 + -1 + 6a = -11 + -1 Combine like terms: 1 + -1 = 0 0 + 6a = -11 + -1 6a = -11 + -1 Combine like terms: -11 + -1 = -12 6a = -12 Divide each side by '6'. a = -2 Simplifying a = -2
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