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Simplifying 3d + 10 = 4d + 3 Reorder the terms: 10 + 3d = 4d + 3 Reorder the terms: 10 + 3d = 3 + 4d Solving 10 + 3d = 3 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 10 + 3d + -4d = 3 + 4d + -4d Combine like terms: 3d + -4d = -1d 10 + -1d = 3 + 4d + -4d Combine like terms: 4d + -4d = 0 10 + -1d = 3 + 0 10 + -1d = 3 Add '-10' to each side of the equation. 10 + -10 + -1d = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -1d = 3 + -10 -1d = 3 + -10 Combine like terms: 3 + -10 = -7 -1d = -7 Divide each side by '-1'. d = 7 Simplifying d = 7
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