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Simplifying -2(a + 4) + -1(2 + 3a) + 6(2 + -3a) + -5(8a + 3) = 0 Reorder the terms: -2(4 + a) + -1(2 + 3a) + 6(2 + -3a) + -5(8a + 3) = 0 (4 * -2 + a * -2) + -1(2 + 3a) + 6(2 + -3a) + -5(8a + 3) = 0 (-8 + -2a) + -1(2 + 3a) + 6(2 + -3a) + -5(8a + 3) = 0 -8 + -2a + (2 * -1 + 3a * -1) + 6(2 + -3a) + -5(8a + 3) = 0 -8 + -2a + (-2 + -3a) + 6(2 + -3a) + -5(8a + 3) = 0 -8 + -2a + -2 + -3a + (2 * 6 + -3a * 6) + -5(8a + 3) = 0 -8 + -2a + -2 + -3a + (12 + -18a) + -5(8a + 3) = 0 Reorder the terms: -8 + -2a + -2 + -3a + 12 + -18a + -5(3 + 8a) = 0 -8 + -2a + -2 + -3a + 12 + -18a + (3 * -5 + 8a * -5) = 0 -8 + -2a + -2 + -3a + 12 + -18a + (-15 + -40a) = 0 Reorder the terms: -8 + -2 + 12 + -15 + -2a + -3a + -18a + -40a = 0 Combine like terms: -8 + -2 = -10 -10 + 12 + -15 + -2a + -3a + -18a + -40a = 0 Combine like terms: -10 + 12 = 2 2 + -15 + -2a + -3a + -18a + -40a = 0 Combine like terms: 2 + -15 = -13 -13 + -2a + -3a + -18a + -40a = 0 Combine like terms: -2a + -3a = -5a -13 + -5a + -18a + -40a = 0 Combine like terms: -5a + -18a = -23a -13 + -23a + -40a = 0 Combine like terms: -23a + -40a = -63a -13 + -63a = 0 Solving -13 + -63a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -63a = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -63a = 0 + 13 -63a = 0 + 13 Combine like terms: 0 + 13 = 13 -63a = 13 Divide each side by '-63'. a = -0.2063492063 Simplifying a = -0.2063492063
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