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Simplifying -15 + -9(3d + -19) = -4 + -17d Reorder the terms: -15 + -9(-19 + 3d) = -4 + -17d -15 + (-19 * -9 + 3d * -9) = -4 + -17d -15 + (171 + -27d) = -4 + -17d Combine like terms: -15 + 171 = 156 156 + -27d = -4 + -17d Solving 156 + -27d = -4 + -17d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '17d' to each side of the equation. 156 + -27d + 17d = -4 + -17d + 17d Combine like terms: -27d + 17d = -10d 156 + -10d = -4 + -17d + 17d Combine like terms: -17d + 17d = 0 156 + -10d = -4 + 0 156 + -10d = -4 Add '-156' to each side of the equation. 156 + -156 + -10d = -4 + -156 Combine like terms: 156 + -156 = 0 0 + -10d = -4 + -156 -10d = -4 + -156 Combine like terms: -4 + -156 = -160 -10d = -160 Divide each side by '-10'. d = 16 Simplifying d = 16
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