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Simplifying a + -1(9 + -1a) = 7a + 6 a + (9 * -1 + -1a * -1) = 7a + 6 a + (-9 + 1a) = 7a + 6 Reorder the terms: -9 + a + 1a = 7a + 6 Combine like terms: a + 1a = 2a -9 + 2a = 7a + 6 Reorder the terms: -9 + 2a = 6 + 7a Solving -9 + 2a = 6 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -9 + 2a + -7a = 6 + 7a + -7a Combine like terms: 2a + -7a = -5a -9 + -5a = 6 + 7a + -7a Combine like terms: 7a + -7a = 0 -9 + -5a = 6 + 0 -9 + -5a = 6 Add '9' to each side of the equation. -9 + 9 + -5a = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -5a = 6 + 9 -5a = 6 + 9 Combine like terms: 6 + 9 = 15 -5a = 15 Divide each side by '-5'. a = -3 Simplifying a = -3
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