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Simplifying a + -1379 = -27a + -7 Reorder the terms: -1379 + a = -27a + -7 Reorder the terms: -1379 + a = -7 + -27a Solving -1379 + a = -7 + -27a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '27a' to each side of the equation. -1379 + a + 27a = -7 + -27a + 27a Combine like terms: a + 27a = 28a -1379 + 28a = -7 + -27a + 27a Combine like terms: -27a + 27a = 0 -1379 + 28a = -7 + 0 -1379 + 28a = -7 Add '1379' to each side of the equation. -1379 + 1379 + 28a = -7 + 1379 Combine like terms: -1379 + 1379 = 0 0 + 28a = -7 + 1379 28a = -7 + 1379 Combine like terms: -7 + 1379 = 1372 28a = 1372 Divide each side by '28'. a = 49 Simplifying a = 49
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