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Simplifying 2a + 3b = 2(2c + 1) + 3(2d) Reorder the terms: 2a + 3b = 2(1 + 2c) + 3(2d) 2a + 3b = (1 * 2 + 2c * 2) + 3(2d) 2a + 3b = (2 + 4c) + 3(2d) Remove parenthesis around (2d) 2a + 3b = 2 + 4c + 3 * 2d Multiply 3 * 2 2a + 3b = 2 + 4c + 6d Solving 2a + 3b = 2 + 4c + 6d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 2a + 3b + -3b = 2 + 4c + -3b + 6d Combine like terms: 3b + -3b = 0 2a + 0 = 2 + 4c + -3b + 6d 2a = 2 + 4c + -3b + 6d Reorder the terms: 2a = 2 + -3b + 4c + 6d Divide each side by '2'. a = 1 + -1.5b + 2c + 3d Simplifying a = 1 + -1.5b + 2c + 3d
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