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Simplifying 5 = 9(d + -5) + -22 Reorder the terms: 5 = 9(-5 + d) + -22 5 = (-5 * 9 + d * 9) + -22 5 = (-45 + 9d) + -22 Reorder the terms: 5 = -45 + -22 + 9d Combine like terms: -45 + -22 = -67 5 = -67 + 9d Solving 5 = -67 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 5 + -9d = -67 + 9d + -9d Combine like terms: 9d + -9d = 0 5 + -9d = -67 + 0 5 + -9d = -67 Add '-5' to each side of the equation. 5 + -5 + -9d = -67 + -5 Combine like terms: 5 + -5 = 0 0 + -9d = -67 + -5 -9d = -67 + -5 Combine like terms: -67 + -5 = -72 -9d = -72 Divide each side by '-9'. d = 8 Simplifying d = 8
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