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Simplifying -1(a + -1) = -3a + 5(1 + a) Reorder the terms: -1(-1 + a) = -3a + 5(1 + a) (-1 * -1 + a * -1) = -3a + 5(1 + a) (1 + -1a) = -3a + 5(1 + a) 1 + -1a = -3a + (1 * 5 + a * 5) 1 + -1a = -3a + (5 + 5a) Reorder the terms: 1 + -1a = 5 + -3a + 5a Combine like terms: -3a + 5a = 2a 1 + -1a = 5 + 2a Solving 1 + -1a = 5 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 1 + -1a + -2a = 5 + 2a + -2a Combine like terms: -1a + -2a = -3a 1 + -3a = 5 + 2a + -2a Combine like terms: 2a + -2a = 0 1 + -3a = 5 + 0 1 + -3a = 5 Add '-1' to each side of the equation. 1 + -1 + -3a = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -3a = 5 + -1 -3a = 5 + -1 Combine like terms: 5 + -1 = 4 -3a = 4 Divide each side by '-3'. a = -1.333333333 Simplifying a = -1.333333333
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