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Simplifying 7a = -4[2 + -1(2a + -1)] Reorder the terms: 7a = -4[2 + -1(-1 + 2a)] 7a = -4[2 + (-1 * -1 + 2a * -1)] 7a = -4[2 + (1 + -2a)] Combine like terms: 2 + 1 = 3 7a = -4[3 + -2a] 7a = [3 * -4 + -2a * -4] 7a = [-12 + 8a] Solving 7a = -12 + 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. 7a + -8a = -12 + 8a + -8a Combine like terms: 7a + -8a = -1a -1a = -12 + 8a + -8a Combine like terms: 8a + -8a = 0 -1a = -12 + 0 -1a = -12 Divide each side by '-1'. a = 12 Simplifying a = 12
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