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Simplifying 1 + 4a + -1a = -9 + 5a Combine like terms: 4a + -1a = 3a 1 + 3a = -9 + 5a Solving 1 + 3a = -9 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 1 + 3a + -5a = -9 + 5a + -5a Combine like terms: 3a + -5a = -2a 1 + -2a = -9 + 5a + -5a Combine like terms: 5a + -5a = 0 1 + -2a = -9 + 0 1 + -2a = -9 Add '-1' to each side of the equation. 1 + -1 + -2a = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = -9 + -1 -2a = -9 + -1 Combine like terms: -9 + -1 = -10 -2a = -10 Divide each side by '-2'. a = 5 Simplifying a = 5
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