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Simplifying 6(2a + -2) + 5(a + 8) = 0 Reorder the terms: 6(-2 + 2a) + 5(a + 8) = 0 (-2 * 6 + 2a * 6) + 5(a + 8) = 0 (-12 + 12a) + 5(a + 8) = 0 Reorder the terms: -12 + 12a + 5(8 + a) = 0 -12 + 12a + (8 * 5 + a * 5) = 0 -12 + 12a + (40 + 5a) = 0 Reorder the terms: -12 + 40 + 12a + 5a = 0 Combine like terms: -12 + 40 = 28 28 + 12a + 5a = 0 Combine like terms: 12a + 5a = 17a 28 + 17a = 0 Solving 28 + 17a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 17a = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 17a = 0 + -28 17a = 0 + -28 Combine like terms: 0 + -28 = -28 17a = -28 Divide each side by '17'. a = -1.647058824 Simplifying a = -1.647058824
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