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Simplifying 1 + 4a = -5 + 3a Solving 1 + 4a = -5 + 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. 1 + 4a + -3a = -5 + 3a + -3a Combine like terms: 4a + -3a = 1a 1 + 1a = -5 + 3a + -3a Combine like terms: 3a + -3a = 0 1 + 1a = -5 + 0 1 + 1a = -5 Add '-1' to each side of the equation. 1 + -1 + 1a = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 1a = -5 + -1 1a = -5 + -1 Combine like terms: -5 + -1 = -6 1a = -6 Divide each side by '1'. a = -6 Simplifying a = -6
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