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Simplifying 1w + 4d + 45 = 1w + 7d Reorder the terms: 45 + 4d + 1w = 1w + 7d Reorder the terms: 45 + 4d + 1w = 7d + 1w Add '-1w' to each side of the equation. 45 + 4d + 1w + -1w = 7d + 1w + -1w Combine like terms: 1w + -1w = 0 45 + 4d + 0 = 7d + 1w + -1w 45 + 4d = 7d + 1w + -1w Combine like terms: 1w + -1w = 0 45 + 4d = 7d + 0 45 + 4d = 7d Solving 45 + 4d = 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 45 + 4d + -7d = 7d + -7d Combine like terms: 4d + -7d = -3d 45 + -3d = 7d + -7d Combine like terms: 7d + -7d = 0 45 + -3d = 0 Add '-45' to each side of the equation. 45 + -45 + -3d = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -3d = 0 + -45 -3d = 0 + -45 Combine like terms: 0 + -45 = -45 -3d = -45 Divide each side by '-3'. d = 15 Simplifying d = 15
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