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Simplifying 3 + 4d + -14 = 15 + -5d + -4 Reorder the terms: 3 + -14 + 4d = 15 + -5d + -4 Combine like terms: 3 + -14 = -11 -11 + 4d = 15 + -5d + -4 Reorder the terms: -11 + 4d = 15 + -4 + -5d Combine like terms: 15 + -4 = 11 -11 + 4d = 11 + -5d Solving -11 + 4d = 11 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. -11 + 4d + 5d = 11 + -5d + 5d Combine like terms: 4d + 5d = 9d -11 + 9d = 11 + -5d + 5d Combine like terms: -5d + 5d = 0 -11 + 9d = 11 + 0 -11 + 9d = 11 Add '11' to each side of the equation. -11 + 11 + 9d = 11 + 11 Combine like terms: -11 + 11 = 0 0 + 9d = 11 + 11 9d = 11 + 11 Combine like terms: 11 + 11 = 22 9d = 22 Divide each side by '9'. d = 2.444444444 Simplifying d = 2.444444444
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