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Simplifying 4 + -1d + 10 = 5d + -10 Reorder the terms: 4 + 10 + -1d = 5d + -10 Combine like terms: 4 + 10 = 14 14 + -1d = 5d + -10 Reorder the terms: 14 + -1d = -10 + 5d Solving 14 + -1d = -10 + 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. 14 + -1d + -5d = -10 + 5d + -5d Combine like terms: -1d + -5d = -6d 14 + -6d = -10 + 5d + -5d Combine like terms: 5d + -5d = 0 14 + -6d = -10 + 0 14 + -6d = -10 Add '-14' to each side of the equation. 14 + -14 + -6d = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -6d = -10 + -14 -6d = -10 + -14 Combine like terms: -10 + -14 = -24 -6d = -24 Divide each side by '-6'. d = 4 Simplifying d = 4
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