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