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Simplifying -7(7a + 7) + 6a = 209 Reorder the terms: -7(7 + 7a) + 6a = 209 (7 * -7 + 7a * -7) + 6a = 209 (-49 + -49a) + 6a = 209 Combine like terms: -49a + 6a = -43a -49 + -43a = 209 Solving -49 + -43a = 209 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -43a = 209 + 49 Combine like terms: -49 + 49 = 0 0 + -43a = 209 + 49 -43a = 209 + 49 Combine like terms: 209 + 49 = 258 -43a = 258 Divide each side by '-43'. a = -6 Simplifying a = -6
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