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Simplifying 8(10a + 1) + 2(-5 + 6a) = 0 Reorder the terms: 8(1 + 10a) + 2(-5 + 6a) = 0 (1 * 8 + 10a * 8) + 2(-5 + 6a) = 0 (8 + 80a) + 2(-5 + 6a) = 0 8 + 80a + (-5 * 2 + 6a * 2) = 0 8 + 80a + (-10 + 12a) = 0 Reorder the terms: 8 + -10 + 80a + 12a = 0 Combine like terms: 8 + -10 = -2 -2 + 80a + 12a = 0 Combine like terms: 80a + 12a = 92a -2 + 92a = 0 Solving -2 + 92a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 92a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 92a = 0 + 2 92a = 0 + 2 Combine like terms: 0 + 2 = 2 92a = 2 Divide each side by '92'. a = 0.02173913043 Simplifying a = 0.02173913043
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