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Simplifying 27 + -4a = -1 + -8(1 + -1a) 27 + -4a = -1 + (1 * -8 + -1a * -8) 27 + -4a = -1 + (-8 + 8a) Combine like terms: -1 + -8 = -9 27 + -4a = -9 + 8a Solving 27 + -4a = -9 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 27 + -4a + -8a = -9 + 8a + -8a Combine like terms: -4a + -8a = -12a 27 + -12a = -9 + 8a + -8a Combine like terms: 8a + -8a = 0 27 + -12a = -9 + 0 27 + -12a = -9 Add '-27' to each side of the equation. 27 + -27 + -12a = -9 + -27 Combine like terms: 27 + -27 = 0 0 + -12a = -9 + -27 -12a = -9 + -27 Combine like terms: -9 + -27 = -36 -12a = -36 Divide each side by '-12'. a = 3 Simplifying a = 3
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