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Simplifying 2a + 27 + 8a = 4a + -7a Reorder the terms: 27 + 2a + 8a = 4a + -7a Combine like terms: 2a + 8a = 10a 27 + 10a = 4a + -7a Combine like terms: 4a + -7a = -3a 27 + 10a = -3a Solving 27 + 10a = -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 27 + 10a + 3a = -3a + 3a Combine like terms: 10a + 3a = 13a 27 + 13a = -3a + 3a Combine like terms: -3a + 3a = 0 27 + 13a = 0 Add '-27' to each side of the equation. 27 + -27 + 13a = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 13a = 0 + -27 13a = 0 + -27 Combine like terms: 0 + -27 = -27 13a = -27 Divide each side by '13'. a = -2.076923077 Simplifying a = -2.076923077
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