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Simplifying 7(81d + 48) = 21 + -9(-64d + 57) Reorder the terms: 7(48 + 81d) = 21 + -9(-64d + 57) (48 * 7 + 81d * 7) = 21 + -9(-64d + 57) (336 + 567d) = 21 + -9(-64d + 57) Reorder the terms: 336 + 567d = 21 + -9(57 + -64d) 336 + 567d = 21 + (57 * -9 + -64d * -9) 336 + 567d = 21 + (-513 + 576d) Combine like terms: 21 + -513 = -492 336 + 567d = -492 + 576d Solving 336 + 567d = -492 + 576d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-576d' to each side of the equation. 336 + 567d + -576d = -492 + 576d + -576d Combine like terms: 567d + -576d = -9d 336 + -9d = -492 + 576d + -576d Combine like terms: 576d + -576d = 0 336 + -9d = -492 + 0 336 + -9d = -492 Add '-336' to each side of the equation. 336 + -336 + -9d = -492 + -336 Combine like terms: 336 + -336 = 0 0 + -9d = -492 + -336 -9d = -492 + -336 Combine like terms: -492 + -336 = -828 -9d = -828 Divide each side by '-9'. d = 92 Simplifying d = 92
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