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Simplifying 7a + (2b + -1c) + -3d = 0 Remove parenthesis around (2b + -1c) 7a + 2b + -1c + -3d = 0 Solving 7a + 2b + -1c + -3d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 7a + 2b + -1c + -2b + -3d = 0 + -2b Reorder the terms: 7a + 2b + -2b + -1c + -3d = 0 + -2b Combine like terms: 2b + -2b = 0 7a + 0 + -1c + -3d = 0 + -2b 7a + -1c + -3d = 0 + -2b Remove the zero: 7a + -1c + -3d = -2b Add 'c' to each side of the equation. 7a + -1c + c + -3d = -2b + c Combine like terms: -1c + c = 0 7a + 0 + -3d = -2b + c 7a + -3d = -2b + c Add '3d' to each side of the equation. 7a + -3d + 3d = -2b + c + 3d Combine like terms: -3d + 3d = 0 7a + 0 = -2b + c + 3d 7a = -2b + c + 3d Divide each side by '7'. a = -0.2857142857b + 0.1428571429c + 0.4285714286d Simplifying a = -0.2857142857b + 0.1428571429c + 0.4285714286d
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