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Simplifying 3a + 2(6x + -5) + 8 = 0 Reorder the terms: 3a + 2(-5 + 6x) + 8 = 0 3a + (-5 * 2 + 6x * 2) + 8 = 0 3a + (-10 + 12x) + 8 = 0 Reorder the terms: -10 + 8 + 3a + 12x = 0 Combine like terms: -10 + 8 = -2 -2 + 3a + 12x = 0 Solving -2 + 3a + 12x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3a + 2 + 12x = 0 + 2 Reorder the terms: -2 + 2 + 3a + 12x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3a + 12x = 0 + 2 3a + 12x = 0 + 2 Combine like terms: 0 + 2 = 2 3a + 12x = 2 Add '-12x' to each side of the equation. 3a + 12x + -12x = 2 + -12x Combine like terms: 12x + -12x = 0 3a + 0 = 2 + -12x 3a = 2 + -12x Divide each side by '3'. a = 0.6666666667 + -4x Simplifying a = 0.6666666667 + -4x
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