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Simplifying 2a + 4b + -1c + 2d = -7 Solving 2a + 4b + -1c + 2d = -7 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. 2a + 4b + -1c + -4b + 2d = -7 + -4b Reorder the terms: 2a + 4b + -4b + -1c + 2d = -7 + -4b Combine like terms: 4b + -4b = 0 2a + 0 + -1c + 2d = -7 + -4b 2a + -1c + 2d = -7 + -4b Add 'c' to each side of the equation. 2a + -1c + c + 2d = -7 + -4b + c Combine like terms: -1c + c = 0 2a + 0 + 2d = -7 + -4b + c 2a + 2d = -7 + -4b + c Add '-2d' to each side of the equation. 2a + 2d + -2d = -7 + -4b + c + -2d Combine like terms: 2d + -2d = 0 2a + 0 = -7 + -4b + c + -2d 2a = -7 + -4b + c + -2d Divide each side by '2'. a = -3.5 + -2b + 0.5c + -1d Simplifying a = -3.5 + -2b + 0.5c + -1d
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