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Simplifying 8a + 2(a + -5) = 6a + 2(5 + 3a) Reorder the terms: 8a + 2(-5 + a) = 6a + 2(5 + 3a) 8a + (-5 * 2 + a * 2) = 6a + 2(5 + 3a) 8a + (-10 + 2a) = 6a + 2(5 + 3a) Reorder the terms: -10 + 8a + 2a = 6a + 2(5 + 3a) Combine like terms: 8a + 2a = 10a -10 + 10a = 6a + 2(5 + 3a) -10 + 10a = 6a + (5 * 2 + 3a * 2) -10 + 10a = 6a + (10 + 6a) Reorder the terms: -10 + 10a = 10 + 6a + 6a Combine like terms: 6a + 6a = 12a -10 + 10a = 10 + 12a Solving -10 + 10a = 10 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -10 + 10a + -12a = 10 + 12a + -12a Combine like terms: 10a + -12a = -2a -10 + -2a = 10 + 12a + -12a Combine like terms: 12a + -12a = 0 -10 + -2a = 10 + 0 -10 + -2a = 10 Add '10' to each side of the equation. -10 + 10 + -2a = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -2a = 10 + 10 -2a = 10 + 10 Combine like terms: 10 + 10 = 20 -2a = 20 Divide each side by '-2'. a = -10 Simplifying a = -10
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