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Simplifying -9 + 3a = 6(1 + -1a) -9 + 3a = (1 * 6 + -1a * 6) -9 + 3a = (6 + -6a) Solving -9 + 3a = 6 + -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. -9 + 3a + 6a = 6 + -6a + 6a Combine like terms: 3a + 6a = 9a -9 + 9a = 6 + -6a + 6a Combine like terms: -6a + 6a = 0 -9 + 9a = 6 + 0 -9 + 9a = 6 Add '9' to each side of the equation. -9 + 9 + 9a = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 9a = 6 + 9 9a = 6 + 9 Combine like terms: 6 + 9 = 15 9a = 15 Divide each side by '9'. a = 1.666666667 Simplifying a = 1.666666667
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