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Simplifying -7(7 + -2a) = 21 + 4a (7 * -7 + -2a * -7) = 21 + 4a (-49 + 14a) = 21 + 4a Solving -49 + 14a = 21 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -49 + 14a + -4a = 21 + 4a + -4a Combine like terms: 14a + -4a = 10a -49 + 10a = 21 + 4a + -4a Combine like terms: 4a + -4a = 0 -49 + 10a = 21 + 0 -49 + 10a = 21 Add '49' to each side of the equation. -49 + 49 + 10a = 21 + 49 Combine like terms: -49 + 49 = 0 0 + 10a = 21 + 49 10a = 21 + 49 Combine like terms: 21 + 49 = 70 10a = 70 Divide each side by '10'. a = 7 Simplifying a = 7
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