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Simplifying 12c + 6ac + -2d + ac + -10c = 0 Reorder the terms: 6ac + ac + 12c + -10c + -2d = 0 Combine like terms: 6ac + ac = 7ac 7ac + 12c + -10c + -2d = 0 Combine like terms: 12c + -10c = 2c 7ac + 2c + -2d = 0 Solving 7ac + 2c + -2d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2c' to each side of the equation. 7ac + 2c + -2c + -2d = 0 + -2c Combine like terms: 2c + -2c = 0 7ac + 0 + -2d = 0 + -2c 7ac + -2d = 0 + -2c Remove the zero: 7ac + -2d = -2c Add '2d' to each side of the equation. 7ac + -2d + 2d = -2c + 2d Combine like terms: -2d + 2d = 0 7ac + 0 = -2c + 2d 7ac = -2c + 2d Divide each side by '7c'. a = -0.2857142857 + 0.2857142857c-1d Simplifying a = -0.2857142857 + 0.2857142857c-1d
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