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Simplifying 5a + 3 + -10a = 3a + 27 Reorder the terms: 3 + 5a + -10a = 3a + 27 Combine like terms: 5a + -10a = -5a 3 + -5a = 3a + 27 Reorder the terms: 3 + -5a = 27 + 3a Solving 3 + -5a = 27 + 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. 3 + -5a + -3a = 27 + 3a + -3a Combine like terms: -5a + -3a = -8a 3 + -8a = 27 + 3a + -3a Combine like terms: 3a + -3a = 0 3 + -8a = 27 + 0 3 + -8a = 27 Add '-3' to each side of the equation. 3 + -3 + -8a = 27 + -3 Combine like terms: 3 + -3 = 0 0 + -8a = 27 + -3 -8a = 27 + -3 Combine like terms: 27 + -3 = 24 -8a = 24 Divide each side by '-8'. a = -3 Simplifying a = -3
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