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Simplifying a + -49 = 2a + 1 + -5a Reorder the terms: -49 + a = 2a + 1 + -5a Reorder the terms: -49 + a = 1 + 2a + -5a Combine like terms: 2a + -5a = -3a -49 + a = 1 + -3a Solving -49 + a = 1 + -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. -49 + a + 3a = 1 + -3a + 3a Combine like terms: a + 3a = 4a -49 + 4a = 1 + -3a + 3a Combine like terms: -3a + 3a = 0 -49 + 4a = 1 + 0 -49 + 4a = 1 Add '49' to each side of the equation. -49 + 49 + 4a = 1 + 49 Combine like terms: -49 + 49 = 0 0 + 4a = 1 + 49 4a = 1 + 49 Combine like terms: 1 + 49 = 50 4a = 50 Divide each side by '4'. a = 12.5 Simplifying a = 12.5
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