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Simplifying 3a + 2[2 + 3(a + -1)] = (2y + 8) Reorder the terms: 3a + 2[2 + 3(-1 + a)] = (2y + 8) 3a + 2[2 + (-1 * 3 + a * 3)] = (2y + 8) 3a + 2[2 + (-3 + 3a)] = (2y + 8) Combine like terms: 2 + -3 = -1 3a + 2[-1 + 3a] = (2y + 8) 3a + [-1 * 2 + 3a * 2] = (2y + 8) 3a + [-2 + 6a] = (2y + 8) Reorder the terms: -2 + 3a + 6a = (2y + 8) Combine like terms: 3a + 6a = 9a -2 + 9a = (2y + 8) Reorder the terms: -2 + 9a = (8 + 2y) Remove parenthesis around (8 + 2y) -2 + 9a = 8 + 2y Solving -2 + 9a = 8 + 2y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9a = 8 + 2 + 2y Combine like terms: -2 + 2 = 0 0 + 9a = 8 + 2 + 2y 9a = 8 + 2 + 2y Combine like terms: 8 + 2 = 10 9a = 10 + 2y Divide each side by '9'. a = 1.111111111 + 0.2222222222y Simplifying a = 1.111111111 + 0.2222222222y
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