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Simplifying 2(a + 2) + -1(3a + -1) = 2(2a + -3) + 16 Reorder the terms: 2(2 + a) + -1(3a + -1) = 2(2a + -3) + 16 (2 * 2 + a * 2) + -1(3a + -1) = 2(2a + -3) + 16 (4 + 2a) + -1(3a + -1) = 2(2a + -3) + 16 Reorder the terms: 4 + 2a + -1(-1 + 3a) = 2(2a + -3) + 16 4 + 2a + (-1 * -1 + 3a * -1) = 2(2a + -3) + 16 4 + 2a + (1 + -3a) = 2(2a + -3) + 16 Reorder the terms: 4 + 1 + 2a + -3a = 2(2a + -3) + 16 Combine like terms: 4 + 1 = 5 5 + 2a + -3a = 2(2a + -3) + 16 Combine like terms: 2a + -3a = -1a 5 + -1a = 2(2a + -3) + 16 Reorder the terms: 5 + -1a = 2(-3 + 2a) + 16 5 + -1a = (-3 * 2 + 2a * 2) + 16 5 + -1a = (-6 + 4a) + 16 Reorder the terms: 5 + -1a = -6 + 16 + 4a Combine like terms: -6 + 16 = 10 5 + -1a = 10 + 4a Solving 5 + -1a = 10 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 5 + -1a + -4a = 10 + 4a + -4a Combine like terms: -1a + -4a = -5a 5 + -5a = 10 + 4a + -4a Combine like terms: 4a + -4a = 0 5 + -5a = 10 + 0 5 + -5a = 10 Add '-5' to each side of the equation. 5 + -5 + -5a = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -5a = 10 + -5 -5a = 10 + -5 Combine like terms: 10 + -5 = 5 -5a = 5 Divide each side by '-5'. a = -1 Simplifying a = -1
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