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Simplifying 7(a + 2) = 6[a + -1(4 + -1a)] Reorder the terms: 7(2 + a) = 6[a + -1(4 + -1a)] (2 * 7 + a * 7) = 6[a + -1(4 + -1a)] (14 + 7a) = 6[a + -1(4 + -1a)] 14 + 7a = 6[a + (4 * -1 + -1a * -1)] 14 + 7a = 6[a + (-4 + 1a)] Reorder the terms: 14 + 7a = 6[-4 + a + 1a] Combine like terms: a + 1a = 2a 14 + 7a = 6[-4 + 2a] 14 + 7a = [-4 * 6 + 2a * 6] 14 + 7a = [-24 + 12a] Solving 14 + 7a = -24 + 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 = -24 + 12a + -12a Combine like terms: 7a + -12a = -5a 14 + -5a = -24 + 12a + -12a Combine like terms: 12a + -12a = 0 14 + -5a = -24 + 0 14 + -5a = -24 Add '-14' to each side of the equation. 14 + -14 + -5a = -24 + -14 Combine like terms: 14 + -14 = 0 0 + -5a = -24 + -14 -5a = -24 + -14 Combine like terms: -24 + -14 = -38 -5a = -38 Divide each side by '-5'. a = 7.6 Simplifying a = 7.6
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