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