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Simplifying 27 + 3a = -5(1 + a) 27 + 3a = (1 * -5 + a * -5) 27 + 3a = (-5 + -5a) Solving 27 + 3a = -5 + -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. 27 + 3a + 5a = -5 + -5a + 5a Combine like terms: 3a + 5a = 8a 27 + 8a = -5 + -5a + 5a Combine like terms: -5a + 5a = 0 27 + 8a = -5 + 0 27 + 8a = -5 Add '-27' to each side of the equation. 27 + -27 + 8a = -5 + -27 Combine like terms: 27 + -27 = 0 0 + 8a = -5 + -27 8a = -5 + -27 Combine like terms: -5 + -27 = -32 8a = -32 Divide each side by '8'. a = -4 Simplifying a = -4
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