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Simplifying a + -13 = -3a + -1 Reorder the terms: -13 + a = -3a + -1 Reorder the terms: -13 + a = -1 + -3a Solving -13 + 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. -13 + a + 3a = -1 + -3a + 3a Combine like terms: a + 3a = 4a -13 + 4a = -1 + -3a + 3a Combine like terms: -3a + 3a = 0 -13 + 4a = -1 + 0 -13 + 4a = -1 Add '13' to each side of the equation. -13 + 13 + 4a = -1 + 13 Combine like terms: -13 + 13 = 0 0 + 4a = -1 + 13 4a = -1 + 13 Combine like terms: -1 + 13 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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