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Simplifying -7(-2a + -7) = 17 + -2a Reorder the terms: -7(-7 + -2a) = 17 + -2a (-7 * -7 + -2a * -7) = 17 + -2a (49 + 14a) = 17 + -2a Solving 49 + 14a = 17 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 49 + 14a + 2a = 17 + -2a + 2a Combine like terms: 14a + 2a = 16a 49 + 16a = 17 + -2a + 2a Combine like terms: -2a + 2a = 0 49 + 16a = 17 + 0 49 + 16a = 17 Add '-49' to each side of the equation. 49 + -49 + 16a = 17 + -49 Combine like terms: 49 + -49 = 0 0 + 16a = 17 + -49 16a = 17 + -49 Combine like terms: 17 + -49 = -32 16a = -32 Divide each side by '16'. a = -2 Simplifying a = -2
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