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Simplifying 20 + -1(6a + -4) = 8a + 10 Reorder the terms: 20 + -1(-4 + 6a) = 8a + 10 20 + (-4 * -1 + 6a * -1) = 8a + 10 20 + (4 + -6a) = 8a + 10 Combine like terms: 20 + 4 = 24 24 + -6a = 8a + 10 Reorder the terms: 24 + -6a = 10 + 8a Solving 24 + -6a = 10 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 24 + -6a + -8a = 10 + 8a + -8a Combine like terms: -6a + -8a = -14a 24 + -14a = 10 + 8a + -8a Combine like terms: 8a + -8a = 0 24 + -14a = 10 + 0 24 + -14a = 10 Add '-24' to each side of the equation. 24 + -24 + -14a = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -14a = 10 + -24 -14a = 10 + -24 Combine like terms: 10 + -24 = -14 -14a = -14 Divide each side by '-14'. a = 1 Simplifying a = 1
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