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Simplifying 3a + -1(7 + -1a) = 9 + 6a 3a + (7 * -1 + -1a * -1) = 9 + 6a 3a + (-7 + 1a) = 9 + 6a Reorder the terms: -7 + 3a + 1a = 9 + 6a Combine like terms: 3a + 1a = 4a -7 + 4a = 9 + 6a Solving -7 + 4a = 9 + 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. -7 + 4a + -6a = 9 + 6a + -6a Combine like terms: 4a + -6a = -2a -7 + -2a = 9 + 6a + -6a Combine like terms: 6a + -6a = 0 -7 + -2a = 9 + 0 -7 + -2a = 9 Add '7' to each side of the equation. -7 + 7 + -2a = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -2a = 9 + 7 -2a = 9 + 7 Combine like terms: 9 + 7 = 16 -2a = 16 Divide each side by '-2'. a = -8 Simplifying a = -8
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