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Simplifying 13 + -2a = a + 1 Reorder the terms: 13 + -2a = 1 + a Solving 13 + -2a = 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. 13 + -2a + -1a = 1 + a + -1a Combine like terms: -2a + -1a = -3a 13 + -3a = 1 + a + -1a Combine like terms: a + -1a = 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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