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Simplifying 13 + -7a + 9a = -1a + 1 Combine like terms: -7a + 9a = 2a 13 + 2a = -1a + 1 Reorder the terms: 13 + 2a = 1 + -1a Solving 13 + 2a = 1 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 13 + 2a + a = 1 + -1a + a Combine like terms: 2a + a = 3a 13 + 3a = 1 + -1a + a Combine like terms: -1a + a = 0 13 + 3a = 1 + 0 13 + 3a = 1 Add '-13' to each side of the equation. 13 + -13 + 3a = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 3a = 1 + -13 3a = 1 + -13 Combine like terms: 1 + -13 = -12 3a = -12 Divide each side by '3'. a = -4 Simplifying a = -4
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