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Simplifying 8(3a + 7) + -2(6a + -14) = 0 Reorder the terms: 8(7 + 3a) + -2(6a + -14) = 0 (7 * 8 + 3a * 8) + -2(6a + -14) = 0 (56 + 24a) + -2(6a + -14) = 0 Reorder the terms: 56 + 24a + -2(-14 + 6a) = 0 56 + 24a + (-14 * -2 + 6a * -2) = 0 56 + 24a + (28 + -12a) = 0 Reorder the terms: 56 + 28 + 24a + -12a = 0 Combine like terms: 56 + 28 = 84 84 + 24a + -12a = 0 Combine like terms: 24a + -12a = 12a 84 + 12a = 0 Solving 84 + 12a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 12a = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 12a = 0 + -84 12a = 0 + -84 Combine like terms: 0 + -84 = -84 12a = -84 Divide each side by '12'. a = -7 Simplifying a = -7
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