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Simplifying -9(7d + -3) = 22 + 5d Reorder the terms: -9(-3 + 7d) = 22 + 5d (-3 * -9 + 7d * -9) = 22 + 5d (27 + -63d) = 22 + 5d Solving 27 + -63d = 22 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 27 + -63d + -5d = 22 + 5d + -5d Combine like terms: -63d + -5d = -68d 27 + -68d = 22 + 5d + -5d Combine like terms: 5d + -5d = 0 27 + -68d = 22 + 0 27 + -68d = 22 Add '-27' to each side of the equation. 27 + -27 + -68d = 22 + -27 Combine like terms: 27 + -27 = 0 0 + -68d = 22 + -27 -68d = 22 + -27 Combine like terms: 22 + -27 = -5 -68d = -5 Divide each side by '-68'. d = 0.07352941176 Simplifying d = 0.07352941176
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