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Simplifying 8a + -13 = 12 + 5a + -7 Reorder the terms: -13 + 8a = 12 + 5a + -7 Reorder the terms: -13 + 8a = 12 + -7 + 5a Combine like terms: 12 + -7 = 5 -13 + 8a = 5 + 5a Solving -13 + 8a = 5 + 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 + 8a + -5a = 5 + 5a + -5a Combine like terms: 8a + -5a = 3a -13 + 3a = 5 + 5a + -5a Combine like terms: 5a + -5a = 0 -13 + 3a = 5 + 0 -13 + 3a = 5 Add '13' to each side of the equation. -13 + 13 + 3a = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 3a = 5 + 13 3a = 5 + 13 Combine like terms: 5 + 13 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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