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Simplifying 8a + -2(a + 5) = 2(a + 1) Reorder the terms: 8a + -2(5 + a) = 2(a + 1) 8a + (5 * -2 + a * -2) = 2(a + 1) 8a + (-10 + -2a) = 2(a + 1) Reorder the terms: -10 + 8a + -2a = 2(a + 1) Combine like terms: 8a + -2a = 6a -10 + 6a = 2(a + 1) Reorder the terms: -10 + 6a = 2(1 + a) -10 + 6a = (1 * 2 + a * 2) -10 + 6a = (2 + 2a) Solving -10 + 6a = 2 + 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. -10 + 6a + -2a = 2 + 2a + -2a Combine like terms: 6a + -2a = 4a -10 + 4a = 2 + 2a + -2a Combine like terms: 2a + -2a = 0 -10 + 4a = 2 + 0 -10 + 4a = 2 Add '10' to each side of the equation. -10 + 10 + 4a = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 4a = 2 + 10 4a = 2 + 10 Combine like terms: 2 + 10 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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