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Simplifying -24 + -2a = -2(5 + 8a) -24 + -2a = (5 * -2 + 8a * -2) -24 + -2a = (-10 + -16a) Solving -24 + -2a = -10 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. -24 + -2a + 16a = -10 + -16a + 16a Combine like terms: -2a + 16a = 14a -24 + 14a = -10 + -16a + 16a Combine like terms: -16a + 16a = 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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