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Simplifying 7d + 14 = 10d + 50 Reorder the terms: 14 + 7d = 10d + 50 Reorder the terms: 14 + 7d = 50 + 10d Solving 14 + 7d = 50 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 14 + 7d + -10d = 50 + 10d + -10d Combine like terms: 7d + -10d = -3d 14 + -3d = 50 + 10d + -10d Combine like terms: 10d + -10d = 0 14 + -3d = 50 + 0 14 + -3d = 50 Add '-14' to each side of the equation. 14 + -14 + -3d = 50 + -14 Combine like terms: 14 + -14 = 0 0 + -3d = 50 + -14 -3d = 50 + -14 Combine like terms: 50 + -14 = 36 -3d = 36 Divide each side by '-3'. d = -12 Simplifying d = -12
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