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Simplifying 2[a + -1(2 + -3a) + -4] = a + -5 2[a + (2 * -1 + -3a * -1) + -4] = a + -5 2[a + (-2 + 3a) + -4] = a + -5 Reorder the terms: 2[-2 + -4 + a + 3a] = a + -5 Combine like terms: -2 + -4 = -6 2[-6 + a + 3a] = a + -5 Combine like terms: a + 3a = 4a 2[-6 + 4a] = a + -5 [-6 * 2 + 4a * 2] = a + -5 [-12 + 8a] = a + -5 Reorder the terms: -12 + 8a = -5 + a Solving -12 + 8a = -5 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -12 + 8a + -1a = -5 + a + -1a Combine like terms: 8a + -1a = 7a -12 + 7a = -5 + a + -1a Combine like terms: a + -1a = 0 -12 + 7a = -5 + 0 -12 + 7a = -5 Add '12' to each side of the equation. -12 + 12 + 7a = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 7a = -5 + 12 7a = -5 + 12 Combine like terms: -5 + 12 = 7 7a = 7 Divide each side by '7'. a = 1 Simplifying a = 1
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