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Simplifying 7 + -7(a + -2) = 9 + -1a Reorder the terms: 7 + -7(-2 + a) = 9 + -1a 7 + (-2 * -7 + a * -7) = 9 + -1a 7 + (14 + -7a) = 9 + -1a Combine like terms: 7 + 14 = 21 21 + -7a = 9 + -1a Solving 21 + -7a = 9 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 21 + -7a + a = 9 + -1a + a Combine like terms: -7a + a = -6a 21 + -6a = 9 + -1a + a Combine like terms: -1a + a = 0 21 + -6a = 9 + 0 21 + -6a = 9 Add '-21' to each side of the equation. 21 + -21 + -6a = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -6a = 9 + -21 -6a = 9 + -21 Combine like terms: 9 + -21 = -12 -6a = -12 Divide each side by '-6'. a = 2 Simplifying a = 2
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