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Simplifying a + -1(2a + 1) = 8 + -1(3a + 3) Reorder the terms: a + -1(1 + 2a) = 8 + -1(3a + 3) a + (1 * -1 + 2a * -1) = 8 + -1(3a + 3) a + (-1 + -2a) = 8 + -1(3a + 3) Reorder the terms: -1 + a + -2a = 8 + -1(3a + 3) Combine like terms: a + -2a = -1a -1 + -1a = 8 + -1(3a + 3) Reorder the terms: -1 + -1a = 8 + -1(3 + 3a) -1 + -1a = 8 + (3 * -1 + 3a * -1) -1 + -1a = 8 + (-3 + -3a) Combine like terms: 8 + -3 = 5 -1 + -1a = 5 + -3a Solving -1 + -1a = 5 + -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. -1 + -1a + 3a = 5 + -3a + 3a Combine like terms: -1a + 3a = 2a -1 + 2a = 5 + -3a + 3a Combine like terms: -3a + 3a = 0 -1 + 2a = 5 + 0 -1 + 2a = 5 Add '1' to each side of the equation. -1 + 1 + 2a = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 2a = 5 + 1 2a = 5 + 1 Combine like terms: 5 + 1 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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