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Simplifying -5 + 3a + 7 = a + -6 Reorder the terms: -5 + 7 + 3a = a + -6 Combine like terms: -5 + 7 = 2 2 + 3a = a + -6 Reorder the terms: 2 + 3a = -6 + a Solving 2 + 3a = -6 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 2 + 3a + -1a = -6 + a + -1a Combine like terms: 3a + -1a = 2a 2 + 2a = -6 + a + -1a Combine like terms: a + -1a = 0 2 + 2a = -6 + 0 2 + 2a = -6 Add '-2' to each side of the equation. 2 + -2 + 2a = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 2a = -6 + -2 2a = -6 + -2 Combine like terms: -6 + -2 = -8 2a = -8 Divide each side by '2'. a = -4 Simplifying a = -4
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