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Simplifying 7(-8a + 7) = -2 + -5a Reorder the terms: 7(7 + -8a) = -2 + -5a (7 * 7 + -8a * 7) = -2 + -5a (49 + -56a) = -2 + -5a Solving 49 + -56a = -2 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 49 + -56a + 5a = -2 + -5a + 5a Combine like terms: -56a + 5a = -51a 49 + -51a = -2 + -5a + 5a Combine like terms: -5a + 5a = 0 49 + -51a = -2 + 0 49 + -51a = -2 Add '-49' to each side of the equation. 49 + -49 + -51a = -2 + -49 Combine like terms: 49 + -49 = 0 0 + -51a = -2 + -49 -51a = -2 + -49 Combine like terms: -2 + -49 = -51 -51a = -51 Divide each side by '-51'. a = 1 Simplifying a = 1
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