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Simplifying 8a + 13 = 3a + -2 Reorder the terms: 13 + 8a = 3a + -2 Reorder the terms: 13 + 8a = -2 + 3a Solving 13 + 8a = -2 + 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. 13 + 8a + -3a = -2 + 3a + -3a Combine like terms: 8a + -3a = 5a 13 + 5a = -2 + 3a + -3a Combine like terms: 3a + -3a = 0 13 + 5a = -2 + 0 13 + 5a = -2 Add '-13' to each side of the equation. 13 + -13 + 5a = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 5a = -2 + -13 5a = -2 + -13 Combine like terms: -2 + -13 = -15 5a = -15 Divide each side by '5'. a = -3 Simplifying a = -3
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