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Simplifying 7d + -1 + -8d = -35 + 11d + -2 Reorder the terms: -1 + 7d + -8d = -35 + 11d + -2 Combine like terms: 7d + -8d = -1d -1 + -1d = -35 + 11d + -2 Reorder the terms: -1 + -1d = -35 + -2 + 11d Combine like terms: -35 + -2 = -37 -1 + -1d = -37 + 11d Solving -1 + -1d = -37 + 11d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-11d' to each side of the equation. -1 + -1d + -11d = -37 + 11d + -11d Combine like terms: -1d + -11d = -12d -1 + -12d = -37 + 11d + -11d Combine like terms: 11d + -11d = 0 -1 + -12d = -37 + 0 -1 + -12d = -37 Add '1' to each side of the equation. -1 + 1 + -12d = -37 + 1 Combine like terms: -1 + 1 = 0 0 + -12d = -37 + 1 -12d = -37 + 1 Combine like terms: -37 + 1 = -36 -12d = -36 Divide each side by '-12'. d = 3 Simplifying d = 3
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