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Simplifying 4 + 30d + -5 = 21d + -27 + -19 Reorder the terms: 4 + -5 + 30d = 21d + -27 + -19 Combine like terms: 4 + -5 = -1 -1 + 30d = 21d + -27 + -19 Reorder the terms: -1 + 30d = -27 + -19 + 21d Combine like terms: -27 + -19 = -46 -1 + 30d = -46 + 21d Solving -1 + 30d = -46 + 21d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-21d' to each side of the equation. -1 + 30d + -21d = -46 + 21d + -21d Combine like terms: 30d + -21d = 9d -1 + 9d = -46 + 21d + -21d Combine like terms: 21d + -21d = 0 -1 + 9d = -46 + 0 -1 + 9d = -46 Add '1' to each side of the equation. -1 + 1 + 9d = -46 + 1 Combine like terms: -1 + 1 = 0 0 + 9d = -46 + 1 9d = -46 + 1 Combine like terms: -46 + 1 = -45 9d = -45 Divide each side by '9'. d = -5 Simplifying d = -5
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