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Simplifying a + 270 = -5a + -6 Reorder the terms: 270 + a = -5a + -6 Reorder the terms: 270 + a = -6 + -5a Solving 270 + a = -6 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 270 + a + 5a = -6 + -5a + 5a Combine like terms: a + 5a = 6a 270 + 6a = -6 + -5a + 5a Combine like terms: -5a + 5a = 0 270 + 6a = -6 + 0 270 + 6a = -6 Add '-270' to each side of the equation. 270 + -270 + 6a = -6 + -270 Combine like terms: 270 + -270 = 0 0 + 6a = -6 + -270 6a = -6 + -270 Combine like terms: -6 + -270 = -276 6a = -276 Divide each side by '6'. a = -46 Simplifying a = -46
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