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Simplifying a + 4b + -3c + 2d = 21 Solving a + 4b + -3c + 2d = 21 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. a + 4b + -3c + -4b + 2d = 21 + -4b Reorder the terms: a + 4b + -4b + -3c + 2d = 21 + -4b Combine like terms: 4b + -4b = 0 a + 0 + -3c + 2d = 21 + -4b a + -3c + 2d = 21 + -4b Add '3c' to each side of the equation. a + -3c + 3c + 2d = 21 + -4b + 3c Combine like terms: -3c + 3c = 0 a + 0 + 2d = 21 + -4b + 3c a + 2d = 21 + -4b + 3c Add '-2d' to each side of the equation. a + 2d + -2d = 21 + -4b + 3c + -2d Combine like terms: 2d + -2d = 0 a + 0 = 21 + -4b + 3c + -2d a = 21 + -4b + 3c + -2d Simplifying a = 21 + -4b + 3c + -2d
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