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Simplifying -12d + -6 = -21d + 3 + -100 Reorder the terms: -6 + -12d = -21d + 3 + -100 Reorder the terms: -6 + -12d = 3 + -100 + -21d Combine like terms: 3 + -100 = -97 -6 + -12d = -97 + -21d Solving -6 + -12d = -97 + -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. -6 + -12d + 21d = -97 + -21d + 21d Combine like terms: -12d + 21d = 9d -6 + 9d = -97 + -21d + 21d Combine like terms: -21d + 21d = 0 -6 + 9d = -97 + 0 -6 + 9d = -97 Add '6' to each side of the equation. -6 + 6 + 9d = -97 + 6 Combine like terms: -6 + 6 = 0 0 + 9d = -97 + 6 9d = -97 + 6 Combine like terms: -97 + 6 = -91 9d = -91 Divide each side by '9'. d = -10.11111111 Simplifying d = -10.11111111
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