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Simplifying 8 + -6(4d + 18) = -19 + -18 + -17d Reorder the terms: 8 + -6(18 + 4d) = -19 + -18 + -17d 8 + (18 * -6 + 4d * -6) = -19 + -18 + -17d 8 + (-108 + -24d) = -19 + -18 + -17d Combine like terms: 8 + -108 = -100 -100 + -24d = -19 + -18 + -17d Combine like terms: -19 + -18 = -37 -100 + -24d = -37 + -17d Solving -100 + -24d = -37 + -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. -100 + -24d + 17d = -37 + -17d + 17d Combine like terms: -24d + 17d = -7d -100 + -7d = -37 + -17d + 17d Combine like terms: -17d + 17d = 0 -100 + -7d = -37 + 0 -100 + -7d = -37 Add '100' to each side of the equation. -100 + 100 + -7d = -37 + 100 Combine like terms: -100 + 100 = 0 0 + -7d = -37 + 100 -7d = -37 + 100 Combine like terms: -37 + 100 = 63 -7d = 63 Divide each side by '-7'. d = -9 Simplifying d = -9
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