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