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