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Simplifying 3a + 4b = d(1 + -2c) 3a + 4b = (1 * d + -2c * d) Reorder the terms: 3a + 4b = (-2cd + 1d) 3a + 4b = (-2cd + 1d) Solving 3a + 4b = -2cd + 1d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 3a + 4b + -4b = -2cd + -4b + 1d Combine like terms: 4b + -4b = 0 3a + 0 = -2cd + -4b + 1d 3a = -2cd + -4b + 1d Reorder the terms: 3a = -4b + -2cd + 1d Divide each side by '3'. a = -1.333333333b + -0.6666666667cd + 0.3333333333d Simplifying a = -1.333333333b + -0.6666666667cd + 0.3333333333d
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