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Simplifying 8 + 12a = -5a + -13 Reorder the terms: 8 + 12a = -13 + -5a Solving 8 + 12a = -13 + -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. 8 + 12a + 5a = -13 + -5a + 5a Combine like terms: 12a + 5a = 17a 8 + 17a = -13 + -5a + 5a Combine like terms: -5a + 5a = 0 8 + 17a = -13 + 0 8 + 17a = -13 Add '-8' to each side of the equation. 8 + -8 + 17a = -13 + -8 Combine like terms: 8 + -8 = 0 0 + 17a = -13 + -8 17a = -13 + -8 Combine like terms: -13 + -8 = -21 17a = -21 Divide each side by '17'. a = -1.235294118 Simplifying a = -1.235294118
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