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Simplifying a + -1(5 + -3a) = 7a + -1(a + -3) + -8 a + (5 * -1 + -3a * -1) = 7a + -1(a + -3) + -8 a + (-5 + 3a) = 7a + -1(a + -3) + -8 Reorder the terms: -5 + a + 3a = 7a + -1(a + -3) + -8 Combine like terms: a + 3a = 4a -5 + 4a = 7a + -1(a + -3) + -8 Reorder the terms: -5 + 4a = 7a + -1(-3 + a) + -8 -5 + 4a = 7a + (-3 * -1 + a * -1) + -8 -5 + 4a = 7a + (3 + -1a) + -8 Reorder the terms: -5 + 4a = 3 + -8 + 7a + -1a Combine like terms: 3 + -8 = -5 -5 + 4a = -5 + 7a + -1a Combine like terms: 7a + -1a = 6a -5 + 4a = -5 + 6a Add '5' to each side of the equation. -5 + 5 + 4a = -5 + 5 + 6a Combine like terms: -5 + 5 = 0 0 + 4a = -5 + 5 + 6a 4a = -5 + 5 + 6a Combine like terms: -5 + 5 = 0 4a = 0 + 6a 4a = 6a Solving 4a = 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 4a + -6a = 6a + -6a Combine like terms: 4a + -6a = -2a -2a = 6a + -6a Combine like terms: 6a + -6a = 0 -2a = 0 Divide each side by '-2'. a = 0 Simplifying a = 0
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