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Simplifying 8(2a + 4) + -1(6a + -1) = 0 Reorder the terms: 8(4 + 2a) + -1(6a + -1) = 0 (4 * 8 + 2a * 8) + -1(6a + -1) = 0 (32 + 16a) + -1(6a + -1) = 0 Reorder the terms: 32 + 16a + -1(-1 + 6a) = 0 32 + 16a + (-1 * -1 + 6a * -1) = 0 32 + 16a + (1 + -6a) = 0 Reorder the terms: 32 + 1 + 16a + -6a = 0 Combine like terms: 32 + 1 = 33 33 + 16a + -6a = 0 Combine like terms: 16a + -6a = 10a 33 + 10a = 0 Solving 33 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 10a = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 10a = 0 + -33 10a = 0 + -33 Combine like terms: 0 + -33 = -33 10a = -33 Divide each side by '10'. a = -3.3 Simplifying a = -3.3
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