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Simplifying -2(1 + 7a) = -24 + 8a (1 * -2 + 7a * -2) = -24 + 8a (-2 + -14a) = -24 + 8a Solving -2 + -14a = -24 + 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. -2 + -14a + -8a = -24 + 8a + -8a Combine like terms: -14a + -8a = -22a -2 + -22a = -24 + 8a + -8a Combine like terms: 8a + -8a = 0 -2 + -22a = -24 + 0 -2 + -22a = -24 Add '2' to each side of the equation. -2 + 2 + -22a = -24 + 2 Combine like terms: -2 + 2 = 0 0 + -22a = -24 + 2 -22a = -24 + 2 Combine like terms: -24 + 2 = -22 -22a = -22 Divide each side by '-22'. a = 1 Simplifying a = 1
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