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Simplifying 7(a + 7) = 21 + -7a Reorder the terms: 7(7 + a) = 21 + -7a (7 * 7 + a * 7) = 21 + -7a (49 + 7a) = 21 + -7a Solving 49 + 7a = 21 + -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. 49 + 7a + 7a = 21 + -7a + 7a Combine like terms: 7a + 7a = 14a 49 + 14a = 21 + -7a + 7a Combine like terms: -7a + 7a = 0 49 + 14a = 21 + 0 49 + 14a = 21 Add '-49' to each side of the equation. 49 + -49 + 14a = 21 + -49 Combine like terms: 49 + -49 = 0 0 + 14a = 21 + -49 14a = 21 + -49 Combine like terms: 21 + -49 = -28 14a = -28 Divide each side by '14'. a = -2 Simplifying a = -2
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