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Simplifying 4d + 50 = 6d + -10 Reorder the terms: 50 + 4d = 6d + -10 Reorder the terms: 50 + 4d = -10 + 6d Solving 50 + 4d = -10 + 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. 50 + 4d + -6d = -10 + 6d + -6d Combine like terms: 4d + -6d = -2d 50 + -2d = -10 + 6d + -6d Combine like terms: 6d + -6d = 0 50 + -2d = -10 + 0 50 + -2d = -10 Add '-50' to each side of the equation. 50 + -50 + -2d = -10 + -50 Combine like terms: 50 + -50 = 0 0 + -2d = -10 + -50 -2d = -10 + -50 Combine like terms: -10 + -50 = -60 -2d = -60 Divide each side by '-2'. d = 30 Simplifying d = 30
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