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Simplifying 6(2 + -3a) + -2(8a + 3) = 12a + -19 (2 * 6 + -3a * 6) + -2(8a + 3) = 12a + -19 (12 + -18a) + -2(8a + 3) = 12a + -19 Reorder the terms: 12 + -18a + -2(3 + 8a) = 12a + -19 12 + -18a + (3 * -2 + 8a * -2) = 12a + -19 12 + -18a + (-6 + -16a) = 12a + -19 Reorder the terms: 12 + -6 + -18a + -16a = 12a + -19 Combine like terms: 12 + -6 = 6 6 + -18a + -16a = 12a + -19 Combine like terms: -18a + -16a = -34a 6 + -34a = 12a + -19 Reorder the terms: 6 + -34a = -19 + 12a Solving 6 + -34a = -19 + 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. 6 + -34a + -12a = -19 + 12a + -12a Combine like terms: -34a + -12a = -46a 6 + -46a = -19 + 12a + -12a Combine like terms: 12a + -12a = 0 6 + -46a = -19 + 0 6 + -46a = -19 Add '-6' to each side of the equation. 6 + -6 + -46a = -19 + -6 Combine like terms: 6 + -6 = 0 0 + -46a = -19 + -6 -46a = -19 + -6 Combine like terms: -19 + -6 = -25 -46a = -25 Divide each side by '-46'. a = 0.5434782609 Simplifying a = 0.5434782609
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