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Simplifying 7b + -5a + c + d = 0 Reorder the terms: -5a + 7b + c + d = 0 Solving -5a + 7b + c + d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. -5a + 7b + c + -7b + d = 0 + -7b Reorder the terms: -5a + 7b + -7b + c + d = 0 + -7b Combine like terms: 7b + -7b = 0 -5a + 0 + c + d = 0 + -7b -5a + c + d = 0 + -7b Remove the zero: -5a + c + d = -7b Add '-1c' to each side of the equation. -5a + c + -1c + d = -7b + -1c Combine like terms: c + -1c = 0 -5a + 0 + d = -7b + -1c -5a + d = -7b + -1c Add '-1d' to each side of the equation. -5a + d + -1d = -7b + -1c + -1d Combine like terms: d + -1d = 0 -5a + 0 = -7b + -1c + -1d -5a = -7b + -1c + -1d Divide each side by '-5'. a = 1.4b + 0.2c + 0.2d Simplifying a = 1.4b + 0.2c + 0.2d
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