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Simplifying -21 = -8 + 9(d + -7) Reorder the terms: -21 = -8 + 9(-7 + d) -21 = -8 + (-7 * 9 + d * 9) -21 = -8 + (-63 + 9d) Combine like terms: -8 + -63 = -71 -21 = -71 + 9d Solving -21 = -71 + 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. -21 + -9d = -71 + 9d + -9d Combine like terms: 9d + -9d = 0 -21 + -9d = -71 + 0 -21 + -9d = -71 Add '21' to each side of the equation. -21 + 21 + -9d = -71 + 21 Combine like terms: -21 + 21 = 0 0 + -9d = -71 + 21 -9d = -71 + 21 Combine like terms: -71 + 21 = -50 -9d = -50 Divide each side by '-9'. d = 5.555555556 Simplifying d = 5.555555556
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