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Simplifying 6a + -13 = 21 + -8a Reorder the terms: -13 + 6a = 21 + -8a Solving -13 + 6a = 21 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -13 + 6a + 8a = 21 + -8a + 8a Combine like terms: 6a + 8a = 14a -13 + 14a = 21 + -8a + 8a Combine like terms: -8a + 8a = 0 -13 + 14a = 21 + 0 -13 + 14a = 21 Add '13' to each side of the equation. -13 + 13 + 14a = 21 + 13 Combine like terms: -13 + 13 = 0 0 + 14a = 21 + 13 14a = 21 + 13 Combine like terms: 21 + 13 = 34 14a = 34 Divide each side by '14'. a = 2.428571429 Simplifying a = 2.428571429
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