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Simplifying 8a + -4(-5a + -7) = 14a Reorder the terms: 8a + -4(-7 + -5a) = 14a 8a + (-7 * -4 + -5a * -4) = 14a 8a + (28 + 20a) = 14a Reorder the terms: 28 + 8a + 20a = 14a Combine like terms: 8a + 20a = 28a 28 + 28a = 14a Solving 28 + 28a = 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. 28 + 28a + -14a = 14a + -14a Combine like terms: 28a + -14a = 14a 28 + 14a = 14a + -14a Combine like terms: 14a + -14a = 0 28 + 14a = 0 Add '-28' to each side of the equation. 28 + -28 + 14a = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 14a = 0 + -28 14a = 0 + -28 Combine like terms: 0 + -28 = -28 14a = -28 Divide each side by '14'. a = -2 Simplifying a = -2
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