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Simplifying 7a + 13 + -9a = 8a + -3a + -8 Reorder the terms: 13 + 7a + -9a = 8a + -3a + -8 Combine like terms: 7a + -9a = -2a 13 + -2a = 8a + -3a + -8 Reorder the terms: 13 + -2a = -8 + 8a + -3a Combine like terms: 8a + -3a = 5a 13 + -2a = -8 + 5a Solving 13 + -2a = -8 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 13 + -2a + -5a = -8 + 5a + -5a Combine like terms: -2a + -5a = -7a 13 + -7a = -8 + 5a + -5a Combine like terms: 5a + -5a = 0 13 + -7a = -8 + 0 13 + -7a = -8 Add '-13' to each side of the equation. 13 + -13 + -7a = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -7a = -8 + -13 -7a = -8 + -13 Combine like terms: -8 + -13 = -21 -7a = -21 Divide each side by '-7'. a = 3 Simplifying a = 3
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