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Simplifying -5a + -7(3 + -4a) = 5a + -3(1 + -3a) -5a + (3 * -7 + -4a * -7) = 5a + -3(1 + -3a) -5a + (-21 + 28a) = 5a + -3(1 + -3a) Reorder the terms: -21 + -5a + 28a = 5a + -3(1 + -3a) Combine like terms: -5a + 28a = 23a -21 + 23a = 5a + -3(1 + -3a) -21 + 23a = 5a + (1 * -3 + -3a * -3) -21 + 23a = 5a + (-3 + 9a) Reorder the terms: -21 + 23a = -3 + 5a + 9a Combine like terms: 5a + 9a = 14a -21 + 23a = -3 + 14a Solving -21 + 23a = -3 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -21 + 23a + -14a = -3 + 14a + -14a Combine like terms: 23a + -14a = 9a -21 + 9a = -3 + 14a + -14a Combine like terms: 14a + -14a = 0 -21 + 9a = -3 + 0 -21 + 9a = -3 Add '21' to each side of the equation. -21 + 21 + 9a = -3 + 21 Combine like terms: -21 + 21 = 0 0 + 9a = -3 + 21 9a = -3 + 21 Combine like terms: -3 + 21 = 18 9a = 18 Divide each side by '9'. a = 2 Simplifying a = 2
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