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Simplifying 3 + 4d + -14 = 15d + -5d + -4d Reorder the terms: 3 + -14 + 4d = 15d + -5d + -4d Combine like terms: 3 + -14 = -11 -11 + 4d = 15d + -5d + -4d Combine like terms: 15d + -5d = 10d -11 + 4d = 10d + -4d Combine like terms: 10d + -4d = 6d -11 + 4d = 6d Solving -11 + 4d = 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. -11 + 4d + -6d = 6d + -6d Combine like terms: 4d + -6d = -2d -11 + -2d = 6d + -6d Combine like terms: 6d + -6d = 0 -11 + -2d = 0 Add '11' to each side of the equation. -11 + 11 + -2d = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2d = 0 + 11 -2d = 0 + 11 Combine like terms: 0 + 11 = 11 -2d = 11 Divide each side by '-2'. d = -5.5 Simplifying d = -5.5
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