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Simplifying 10d + -289 = 4(2 + -5d) + -3d Reorder the terms: -289 + 10d = 4(2 + -5d) + -3d -289 + 10d = (2 * 4 + -5d * 4) + -3d -289 + 10d = (8 + -20d) + -3d Combine like terms: -20d + -3d = -23d -289 + 10d = 8 + -23d Solving -289 + 10d = 8 + -23d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '23d' to each side of the equation. -289 + 10d + 23d = 8 + -23d + 23d Combine like terms: 10d + 23d = 33d -289 + 33d = 8 + -23d + 23d Combine like terms: -23d + 23d = 0 -289 + 33d = 8 + 0 -289 + 33d = 8 Add '289' to each side of the equation. -289 + 289 + 33d = 8 + 289 Combine like terms: -289 + 289 = 0 0 + 33d = 8 + 289 33d = 8 + 289 Combine like terms: 8 + 289 = 297 33d = 297 Divide each side by '33'. d = 9 Simplifying d = 9
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