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Simplifying 8(5a + -1) + -6 = 20 + 6a Reorder the terms: 8(-1 + 5a) + -6 = 20 + 6a (-1 * 8 + 5a * 8) + -6 = 20 + 6a (-8 + 40a) + -6 = 20 + 6a Reorder the terms: -8 + -6 + 40a = 20 + 6a Combine like terms: -8 + -6 = -14 -14 + 40a = 20 + 6a Solving -14 + 40a = 20 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -14 + 40a + -6a = 20 + 6a + -6a Combine like terms: 40a + -6a = 34a -14 + 34a = 20 + 6a + -6a Combine like terms: 6a + -6a = 0 -14 + 34a = 20 + 0 -14 + 34a = 20 Add '14' to each side of the equation. -14 + 14 + 34a = 20 + 14 Combine like terms: -14 + 14 = 0 0 + 34a = 20 + 14 34a = 20 + 14 Combine like terms: 20 + 14 = 34 34a = 34 Divide each side by '34'. a = 1 Simplifying a = 1
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