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Simplifying 8a + -24 = 2(a + 3) Reorder the terms: -24 + 8a = 2(a + 3) Reorder the terms: -24 + 8a = 2(3 + a) -24 + 8a = (3 * 2 + a * 2) -24 + 8a = (6 + 2a) Solving -24 + 8a = 6 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -24 + 8a + -2a = 6 + 2a + -2a Combine like terms: 8a + -2a = 6a -24 + 6a = 6 + 2a + -2a Combine like terms: 2a + -2a = 0 -24 + 6a = 6 + 0 -24 + 6a = 6 Add '24' to each side of the equation. -24 + 24 + 6a = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 6a = 6 + 24 6a = 6 + 24 Combine like terms: 6 + 24 = 30 6a = 30 Divide each side by '6'. a = 5 Simplifying a = 5
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