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Simplifying 3[a + 1] = 19 + -5a Reorder the terms: 3[1 + a] = 19 + -5a [1 * 3 + a * 3] = 19 + -5a [3 + 3a] = 19 + -5a Solving 3 + 3a = 19 + -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. 3 + 3a + 5a = 19 + -5a + 5a Combine like terms: 3a + 5a = 8a 3 + 8a = 19 + -5a + 5a Combine like terms: -5a + 5a = 0 3 + 8a = 19 + 0 3 + 8a = 19 Add '-3' to each side of the equation. 3 + -3 + 8a = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 8a = 19 + -3 8a = 19 + -3 Combine like terms: 19 + -3 = 16 8a = 16 Divide each side by '8'. a = 2 Simplifying a = 2
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