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Simplifying -4d + -38 = 7d + 18 Reorder the terms: -38 + -4d = 7d + 18 Reorder the terms: -38 + -4d = 18 + 7d Solving -38 + -4d = 18 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -38 + -4d + -7d = 18 + 7d + -7d Combine like terms: -4d + -7d = -11d -38 + -11d = 18 + 7d + -7d Combine like terms: 7d + -7d = 0 -38 + -11d = 18 + 0 -38 + -11d = 18 Add '38' to each side of the equation. -38 + 38 + -11d = 18 + 38 Combine like terms: -38 + 38 = 0 0 + -11d = 18 + 38 -11d = 18 + 38 Combine like terms: 18 + 38 = 56 -11d = 56 Divide each side by '-11'. d = -5.090909091 Simplifying d = -5.090909091
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