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Simplifying 7 + -9 = a + 1 Combine like terms: 7 + -9 = -2 -2 = a + 1 Reorder the terms: -2 = 1 + a Solving -2 = 1 + 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 + -1a = 1 + a + -1a Combine like terms: a + -1a = 0 -2 + -1a = 1 + 0 -2 + -1a = 1 Add '2' to each side of the equation. -2 + 2 + -1a = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -1a = 1 + 2 -1a = 1 + 2 Combine like terms: 1 + 2 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3
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