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Simplifying 4(a + 3) = 8[a + -1(7 + -1a)] Reorder the terms: 4(3 + a) = 8[a + -1(7 + -1a)] (3 * 4 + a * 4) = 8[a + -1(7 + -1a)] (12 + 4a) = 8[a + -1(7 + -1a)] 12 + 4a = 8[a + (7 * -1 + -1a * -1)] 12 + 4a = 8[a + (-7 + 1a)] Reorder the terms: 12 + 4a = 8[-7 + a + 1a] Combine like terms: a + 1a = 2a 12 + 4a = 8[-7 + 2a] 12 + 4a = [-7 * 8 + 2a * 8] 12 + 4a = [-56 + 16a] Solving 12 + 4a = -56 + 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 + 4a + -16a = -56 + 16a + -16a Combine like terms: 4a + -16a = -12a 12 + -12a = -56 + 16a + -16a Combine like terms: 16a + -16a = 0 12 + -12a = -56 + 0 12 + -12a = -56 Add '-12' to each side of the equation. 12 + -12 + -12a = -56 + -12 Combine like terms: 12 + -12 = 0 0 + -12a = -56 + -12 -12a = -56 + -12 Combine like terms: -56 + -12 = -68 -12a = -68 Divide each side by '-12'. a = 5.666666667 Simplifying a = 5.666666667
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