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Simplifying 8a + -13 + 3a = 12 + 5 + -7 Reorder the terms: -13 + 8a + 3a = 12 + 5 + -7 Combine like terms: 8a + 3a = 11a -13 + 11a = 12 + 5 + -7 Combine like terms: 12 + 5 = 17 -13 + 11a = 17 + -7 Combine like terms: 17 + -7 = 10 -13 + 11a = 10 Solving -13 + 11a = 10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 11a = 10 + 13 Combine like terms: -13 + 13 = 0 0 + 11a = 10 + 13 11a = 10 + 13 Combine like terms: 10 + 13 = 23 11a = 23 Divide each side by '11'. a = 2.090909091 Simplifying a = 2.090909091
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