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Simplifying 10 + -10d + 3 = 6d + 4 Reorder the terms: 10 + 3 + -10d = 6d + 4 Combine like terms: 10 + 3 = 13 13 + -10d = 6d + 4 Reorder the terms: 13 + -10d = 4 + 6d Solving 13 + -10d = 4 + 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. 13 + -10d + -6d = 4 + 6d + -6d Combine like terms: -10d + -6d = -16d 13 + -16d = 4 + 6d + -6d Combine like terms: 6d + -6d = 0 13 + -16d = 4 + 0 13 + -16d = 4 Add '-13' to each side of the equation. 13 + -13 + -16d = 4 + -13 Combine like terms: 13 + -13 = 0 0 + -16d = 4 + -13 -16d = 4 + -13 Combine like terms: 4 + -13 = -9 -16d = -9 Divide each side by '-16'. d = 0.5625 Simplifying d = 0.5625
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