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Simplifying 17 + -2d = -6(5d + 9) Reorder the terms: 17 + -2d = -6(9 + 5d) 17 + -2d = (9 * -6 + 5d * -6) 17 + -2d = (-54 + -30d) Solving 17 + -2d = -54 + -30d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '30d' to each side of the equation. 17 + -2d + 30d = -54 + -30d + 30d Combine like terms: -2d + 30d = 28d 17 + 28d = -54 + -30d + 30d Combine like terms: -30d + 30d = 0 17 + 28d = -54 + 0 17 + 28d = -54 Add '-17' to each side of the equation. 17 + -17 + 28d = -54 + -17 Combine like terms: 17 + -17 = 0 0 + 28d = -54 + -17 28d = -54 + -17 Combine like terms: -54 + -17 = -71 28d = -71 Divide each side by '28'. d = -2.535714286 Simplifying d = -2.535714286
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