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Simplifying -6 = 6(8a + -1) + -7a Reorder the terms: -6 = 6(-1 + 8a) + -7a -6 = (-1 * 6 + 8a * 6) + -7a -6 = (-6 + 48a) + -7a Combine like terms: 48a + -7a = 41a -6 = -6 + 41a Add '6' to each side of the equation. -6 + 6 = -6 + 6 + 41a Combine like terms: -6 + 6 = 0 0 = -6 + 6 + 41a Combine like terms: -6 + 6 = 0 0 = 0 + 41a 0 = 41a Solving 0 = 41a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-41a' to each side of the equation. 0 + -41a = 41a + -41a Remove the zero: -41a = 41a + -41a Combine like terms: 41a + -41a = 0 -41a = 0 Divide each side by '-41'. a = 0 Simplifying a = 0
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