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Simplifying a + -9 = 13 + 3a Reorder the terms: -9 + a = 13 + 3a Solving -9 + a = 13 + 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. -9 + a + -3a = 13 + 3a + -3a Combine like terms: a + -3a = -2a -9 + -2a = 13 + 3a + -3a Combine like terms: 3a + -3a = 0 -9 + -2a = 13 + 0 -9 + -2a = 13 Add '9' to each side of the equation. -9 + 9 + -2a = 13 + 9 Combine like terms: -9 + 9 = 0 0 + -2a = 13 + 9 -2a = 13 + 9 Combine like terms: 13 + 9 = 22 -2a = 22 Divide each side by '-2'. a = -11 Simplifying a = -11
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