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Simplifying 7d + -42 + -27d = -64 + -9d Reorder the terms: -42 + 7d + -27d = -64 + -9d Combine like terms: 7d + -27d = -20d -42 + -20d = -64 + -9d Solving -42 + -20d = -64 + -9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d' to each side of the equation. -42 + -20d + 9d = -64 + -9d + 9d Combine like terms: -20d + 9d = -11d -42 + -11d = -64 + -9d + 9d Combine like terms: -9d + 9d = 0 -42 + -11d = -64 + 0 -42 + -11d = -64 Add '42' to each side of the equation. -42 + 42 + -11d = -64 + 42 Combine like terms: -42 + 42 = 0 0 + -11d = -64 + 42 -11d = -64 + 42 Combine like terms: -64 + 42 = -22 -11d = -22 Divide each side by '-11'. d = 2 Simplifying d = 2
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