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Simplifying 10 + 7d = 4 + -14d Solving 10 + 7d = 4 + -14d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '14d' to each side of the equation. 10 + 7d + 14d = 4 + -14d + 14d Combine like terms: 7d + 14d = 21d 10 + 21d = 4 + -14d + 14d Combine like terms: -14d + 14d = 0 10 + 21d = 4 + 0 10 + 21d = 4 Add '-10' to each side of the equation. 10 + -10 + 21d = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 21d = 4 + -10 21d = 4 + -10 Combine like terms: 4 + -10 = -6 21d = -6 Divide each side by '21'. d = -0.2857142857 Simplifying d = -0.2857142857
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