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Simplifying 1 + -1a = 6 + -5(8a + 1) Reorder the terms: 1 + -1a = 6 + -5(1 + 8a) 1 + -1a = 6 + (1 * -5 + 8a * -5) 1 + -1a = 6 + (-5 + -40a) Combine like terms: 6 + -5 = 1 1 + -1a = 1 + -40a Add '-1' to each side of the equation. 1 + -1 + -1a = 1 + -1 + -40a Combine like terms: 1 + -1 = 0 0 + -1a = 1 + -1 + -40a -1a = 1 + -1 + -40a Combine like terms: 1 + -1 = 0 -1a = 0 + -40a -1a = -40a Solving -1a = -40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40a' to each side of the equation. -1a + 40a = -40a + 40a Combine like terms: -1a + 40a = 39a 39a = -40a + 40a Combine like terms: -40a + 40a = 0 39a = 0 Divide each side by '39'. a = 0 Simplifying a = 0
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