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Simplifying 7(a + 2) = 6[a + -1(1 + -1a)] Reorder the terms: 7(2 + a) = 6[a + -1(1 + -1a)] (2 * 7 + a * 7) = 6[a + -1(1 + -1a)] (14 + 7a) = 6[a + -1(1 + -1a)] 14 + 7a = 6[a + (1 * -1 + -1a * -1)] 14 + 7a = 6[a + (-1 + 1a)] Reorder the terms: 14 + 7a = 6[-1 + a + 1a] Combine like terms: a + 1a = 2a 14 + 7a = 6[-1 + 2a] 14 + 7a = [-1 * 6 + 2a * 6] 14 + 7a = [-6 + 12a] Solving 14 + 7a = -6 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 14 + 7a + -12a = -6 + 12a + -12a Combine like terms: 7a + -12a = -5a 14 + -5a = -6 + 12a + -12a Combine like terms: 12a + -12a = 0 14 + -5a = -6 + 0 14 + -5a = -6 Add '-14' to each side of the equation. 14 + -14 + -5a = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -5a = -6 + -14 -5a = -6 + -14 Combine like terms: -6 + -14 = -20 -5a = -20 Divide each side by '-5'. a = 4 Simplifying a = 4
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