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Simplifying 3a + -5 = -9 + -1a Reorder the terms: -5 + 3a = -9 + -1a Solving -5 + 3a = -9 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -5 + 3a + a = -9 + -1a + a Combine like terms: 3a + a = 4a -5 + 4a = -9 + -1a + a Combine like terms: -1a + a = 0 -5 + 4a = -9 + 0 -5 + 4a = -9 Add '5' to each side of the equation. -5 + 5 + 4a = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 4a = -9 + 5 4a = -9 + 5 Combine like terms: -9 + 5 = -4 4a = -4 Divide each side by '4'. a = -1 Simplifying a = -1
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