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Simplifying 8a + -2(a + 5) = 2(8 + -1) Reorder the terms: 8a + -2(5 + a) = 2(8 + -1) 8a + (5 * -2 + a * -2) = 2(8 + -1) 8a + (-10 + -2a) = 2(8 + -1) Reorder the terms: -10 + 8a + -2a = 2(8 + -1) Combine like terms: 8a + -2a = 6a -10 + 6a = 2(8 + -1) Combine like terms: 8 + -1 = 7 -10 + 6a = 2(7) Multiply 2 * 7 -10 + 6a = 14 Solving -10 + 6a = 14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 6a = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 6a = 14 + 10 6a = 14 + 10 Combine like terms: 14 + 10 = 24 6a = 24 Divide each side by '6'. a = 4 Simplifying a = 4
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