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Simplifying -7(5a + -7) = 21 + -7a Reorder the terms: -7(-7 + 5a) = 21 + -7a (-7 * -7 + 5a * -7) = 21 + -7a (49 + -35a) = 21 + -7a Solving 49 + -35a = 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 + -35a + 7a = 21 + -7a + 7a Combine like terms: -35a + 7a = -28a 49 + -28a = 21 + -7a + 7a Combine like terms: -7a + 7a = 0 49 + -28a = 21 + 0 49 + -28a = 21 Add '-49' to each side of the equation. 49 + -49 + -28a = 21 + -49 Combine like terms: 49 + -49 = 0 0 + -28a = 21 + -49 -28a = 21 + -49 Combine like terms: 21 + -49 = -28 -28a = -28 Divide each side by '-28'. a = 1 Simplifying a = 1
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