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Simplifying 4d + -3 = d + 42 Reorder the terms: -3 + 4d = d + 42 Reorder the terms: -3 + 4d = 42 + d Solving -3 + 4d = 42 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -3 + 4d + -1d = 42 + d + -1d Combine like terms: 4d + -1d = 3d -3 + 3d = 42 + d + -1d Combine like terms: d + -1d = 0 -3 + 3d = 42 + 0 -3 + 3d = 42 Add '3' to each side of the equation. -3 + 3 + 3d = 42 + 3 Combine like terms: -3 + 3 = 0 0 + 3d = 42 + 3 3d = 42 + 3 Combine like terms: 42 + 3 = 45 3d = 45 Divide each side by '3'. d = 15 Simplifying d = 15
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