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Simplifying a + -1278 = -25a + -4 Reorder the terms: -1278 + a = -25a + -4 Reorder the terms: -1278 + a = -4 + -25a Solving -1278 + a = -4 + -25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25a' to each side of the equation. -1278 + a + 25a = -4 + -25a + 25a Combine like terms: a + 25a = 26a -1278 + 26a = -4 + -25a + 25a Combine like terms: -25a + 25a = 0 -1278 + 26a = -4 + 0 -1278 + 26a = -4 Add '1278' to each side of the equation. -1278 + 1278 + 26a = -4 + 1278 Combine like terms: -1278 + 1278 = 0 0 + 26a = -4 + 1278 26a = -4 + 1278 Combine like terms: -4 + 1278 = 1274 26a = 1274 Divide each side by '26'. a = 49 Simplifying a = 49
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