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Simplifying -5 = a + 7 + -3a Reorder the terms: -5 = 7 + a + -3a Combine like terms: a + -3a = -2a -5 = 7 + -2a Solving -5 = 7 + -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. -5 + 2a = 7 + -2a + 2a Combine like terms: -2a + 2a = 0 -5 + 2a = 7 + 0 -5 + 2a = 7 Add '5' to each side of the equation. -5 + 5 + 2a = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2a = 7 + 5 2a = 7 + 5 Combine like terms: 7 + 5 = 12 2a = 12 Divide each side by '2'. a = 6 Simplifying a = 6
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