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Simplifying d + 10 = 4d + (5 + -2d) Reorder the terms: 10 + d = 4d + (5 + -2d) Remove parenthesis around (5 + -2d) 10 + d = 4d + 5 + -2d Reorder the terms: 10 + d = 5 + 4d + -2d Combine like terms: 4d + -2d = 2d 10 + d = 5 + 2d Solving 10 + d = 5 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 10 + d + -2d = 5 + 2d + -2d Combine like terms: d + -2d = -1d 10 + -1d = 5 + 2d + -2d Combine like terms: 2d + -2d = 0 10 + -1d = 5 + 0 10 + -1d = 5 Add '-10' to each side of the equation. 10 + -10 + -1d = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -1d = 5 + -10 -1d = 5 + -10 Combine like terms: 5 + -10 = -5 -1d = -5 Divide each side by '-1'. d = 5 Simplifying d = 5
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