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Simplifying 19 + a = 4(1 + -1a) 19 + a = (1 * 4 + -1a * 4) 19 + a = (4 + -4a) Solving 19 + a = 4 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 19 + a + 4a = 4 + -4a + 4a Combine like terms: a + 4a = 5a 19 + 5a = 4 + -4a + 4a Combine like terms: -4a + 4a = 0 19 + 5a = 4 + 0 19 + 5a = 4 Add '-19' to each side of the equation. 19 + -19 + 5a = 4 + -19 Combine like terms: 19 + -19 = 0 0 + 5a = 4 + -19 5a = 4 + -19 Combine like terms: 4 + -19 = -15 5a = -15 Divide each side by '5'. a = -3 Simplifying a = -3
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