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Simplifying -12 + 11 + -19d = 18d + -9(6d + 19) Combine like terms: -12 + 11 = -1 -1 + -19d = 18d + -9(6d + 19) Reorder the terms: -1 + -19d = 18d + -9(19 + 6d) -1 + -19d = 18d + (19 * -9 + 6d * -9) -1 + -19d = 18d + (-171 + -54d) Reorder the terms: -1 + -19d = -171 + 18d + -54d Combine like terms: 18d + -54d = -36d -1 + -19d = -171 + -36d Solving -1 + -19d = -171 + -36d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '36d' to each side of the equation. -1 + -19d + 36d = -171 + -36d + 36d Combine like terms: -19d + 36d = 17d -1 + 17d = -171 + -36d + 36d Combine like terms: -36d + 36d = 0 -1 + 17d = -171 + 0 -1 + 17d = -171 Add '1' to each side of the equation. -1 + 1 + 17d = -171 + 1 Combine like terms: -1 + 1 = 0 0 + 17d = -171 + 1 17d = -171 + 1 Combine like terms: -171 + 1 = -170 17d = -170 Divide each side by '17'. d = -10 Simplifying d = -10
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