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Simplifying 22 + -1(8d + 5) = 19 + -9(d + 1) Reorder the terms: 22 + -1(5 + 8d) = 19 + -9(d + 1) 22 + (5 * -1 + 8d * -1) = 19 + -9(d + 1) 22 + (-5 + -8d) = 19 + -9(d + 1) Combine like terms: 22 + -5 = 17 17 + -8d = 19 + -9(d + 1) Reorder the terms: 17 + -8d = 19 + -9(1 + d) 17 + -8d = 19 + (1 * -9 + d * -9) 17 + -8d = 19 + (-9 + -9d) Combine like terms: 19 + -9 = 10 17 + -8d = 10 + -9d Solving 17 + -8d = 10 + -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. 17 + -8d + 9d = 10 + -9d + 9d Combine like terms: -8d + 9d = 1d 17 + 1d = 10 + -9d + 9d Combine like terms: -9d + 9d = 0 17 + 1d = 10 + 0 17 + 1d = 10 Add '-17' to each side of the equation. 17 + -17 + 1d = 10 + -17 Combine like terms: 17 + -17 = 0 0 + 1d = 10 + -17 1d = 10 + -17 Combine like terms: 10 + -17 = -7 1d = -7 Divide each side by '1'. d = -7 Simplifying d = -7
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