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Simplifying 3a + 2(a + -1) = 7a + -1(a + 2) Reorder the terms: 3a + 2(-1 + a) = 7a + -1(a + 2) 3a + (-1 * 2 + a * 2) = 7a + -1(a + 2) 3a + (-2 + 2a) = 7a + -1(a + 2) Reorder the terms: -2 + 3a + 2a = 7a + -1(a + 2) Combine like terms: 3a + 2a = 5a -2 + 5a = 7a + -1(a + 2) Reorder the terms: -2 + 5a = 7a + -1(2 + a) -2 + 5a = 7a + (2 * -1 + a * -1) -2 + 5a = 7a + (-2 + -1a) Reorder the terms: -2 + 5a = -2 + 7a + -1a Combine like terms: 7a + -1a = 6a -2 + 5a = -2 + 6a Add '2' to each side of the equation. -2 + 2 + 5a = -2 + 2 + 6a Combine like terms: -2 + 2 = 0 0 + 5a = -2 + 2 + 6a 5a = -2 + 2 + 6a Combine like terms: -2 + 2 = 0 5a = 0 + 6a 5a = 6a Solving 5a = 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. 5a + -6a = 6a + -6a Combine like terms: 5a + -6a = -1a -1a = 6a + -6a Combine like terms: 6a + -6a = 0 -1a = 0 Divide each side by '-1'. a = 0 Simplifying a = 0
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