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Simplifying 3 + 8d = 13 + 10d Solving 3 + 8d = 13 + 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. 3 + 8d + -10d = 13 + 10d + -10d Combine like terms: 8d + -10d = -2d 3 + -2d = 13 + 10d + -10d Combine like terms: 10d + -10d = 0 3 + -2d = 13 + 0 3 + -2d = 13 Add '-3' to each side of the equation. 3 + -3 + -2d = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -2d = 13 + -3 -2d = 13 + -3 Combine like terms: 13 + -3 = 10 -2d = 10 Divide each side by '-2'. d = -5 Simplifying d = -5
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