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Simplifying 6(a + 2) = 8[a + -1(3 + -1a)] Reorder the terms: 6(2 + a) = 8[a + -1(3 + -1a)] (2 * 6 + a * 6) = 8[a + -1(3 + -1a)] (12 + 6a) = 8[a + -1(3 + -1a)] 12 + 6a = 8[a + (3 * -1 + -1a * -1)] 12 + 6a = 8[a + (-3 + 1a)] Reorder the terms: 12 + 6a = 8[-3 + a + 1a] Combine like terms: a + 1a = 2a 12 + 6a = 8[-3 + 2a] 12 + 6a = [-3 * 8 + 2a * 8] 12 + 6a = [-24 + 16a] Solving 12 + 6a = -24 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 12 + 6a + -16a = -24 + 16a + -16a Combine like terms: 6a + -16a = -10a 12 + -10a = -24 + 16a + -16a Combine like terms: 16a + -16a = 0 12 + -10a = -24 + 0 12 + -10a = -24 Add '-12' to each side of the equation. 12 + -12 + -10a = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -10a = -24 + -12 -10a = -24 + -12 Combine like terms: -24 + -12 = -36 -10a = -36 Divide each side by '-10'. a = 3.6 Simplifying a = 3.6
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