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Simplifying 11 + 5a + -7 = (-4) + -3a Reorder the terms: 11 + -7 + 5a = (-4) + -3a Combine like terms: 11 + -7 = 4 4 + 5a = (-4) + -3a 4 + 5a = -4 + -3a Solving 4 + 5a = -4 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 4 + 5a + 3a = -4 + -3a + 3a Combine like terms: 5a + 3a = 8a 4 + 8a = -4 + -3a + 3a Combine like terms: -3a + 3a = 0 4 + 8a = -4 + 0 4 + 8a = -4 Add '-4' to each side of the equation. 4 + -4 + 8a = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 8a = -4 + -4 8a = -4 + -4 Combine like terms: -4 + -4 = -8 8a = -8 Divide each side by '8'. a = -1 Simplifying a = -1
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