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Simplifying 6a + -7 = -8a + 21 Reorder the terms: -7 + 6a = -8a + 21 Reorder the terms: -7 + 6a = 21 + -8a Solving -7 + 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. -7 + 6a + 8a = 21 + -8a + 8a Combine like terms: 6a + 8a = 14a -7 + 14a = 21 + -8a + 8a Combine like terms: -8a + 8a = 0 -7 + 14a = 21 + 0 -7 + 14a = 21 Add '7' to each side of the equation. -7 + 7 + 14a = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 14a = 21 + 7 14a = 21 + 7 Combine like terms: 21 + 7 = 28 14a = 28 Divide each side by '14'. a = 2 Simplifying a = 2
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