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Simplifying 3 + 5(-8a + -1) = -6 + -1(3a + -4) Reorder the terms: 3 + 5(-1 + -8a) = -6 + -1(3a + -4) 3 + (-1 * 5 + -8a * 5) = -6 + -1(3a + -4) 3 + (-5 + -40a) = -6 + -1(3a + -4) Combine like terms: 3 + -5 = -2 -2 + -40a = -6 + -1(3a + -4) Reorder the terms: -2 + -40a = -6 + -1(-4 + 3a) -2 + -40a = -6 + (-4 * -1 + 3a * -1) -2 + -40a = -6 + (4 + -3a) Combine like terms: -6 + 4 = -2 -2 + -40a = -2 + -3a Add '2' to each side of the equation. -2 + 2 + -40a = -2 + 2 + -3a Combine like terms: -2 + 2 = 0 0 + -40a = -2 + 2 + -3a -40a = -2 + 2 + -3a Combine like terms: -2 + 2 = 0 -40a = 0 + -3a -40a = -3a Solving -40a = -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -40a + 3a = -3a + 3a Combine like terms: -40a + 3a = -37a -37a = -3a + 3a Combine like terms: -3a + 3a = 0 -37a = 0 Divide each side by '-37'. a = 0 Simplifying a = 0
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