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Simplifying 6a + -6 = a + 21 + -8a Reorder the terms: -6 + 6a = a + 21 + -8a Reorder the terms: -6 + 6a = 21 + a + -8a Combine like terms: a + -8a = -7a -6 + 6a = 21 + -7a Solving -6 + 6a = 21 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -6 + 6a + 7a = 21 + -7a + 7a Combine like terms: 6a + 7a = 13a -6 + 13a = 21 + -7a + 7a Combine like terms: -7a + 7a = 0 -6 + 13a = 21 + 0 -6 + 13a = 21 Add '6' to each side of the equation. -6 + 6 + 13a = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 13a = 21 + 6 13a = 21 + 6 Combine like terms: 21 + 6 = 27 13a = 27 Divide each side by '13'. a = 2.076923077 Simplifying a = 2.076923077
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