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Simplifying 2d + -8 + -1(8d + -2) = 54 Reorder the terms: 2d + -8 + -1(-2 + 8d) = 54 2d + -8 + (-2 * -1 + 8d * -1) = 54 2d + -8 + (2 + -8d) = 54 Reorder the terms: -8 + 2 + 2d + -8d = 54 Combine like terms: -8 + 2 = -6 -6 + 2d + -8d = 54 Combine like terms: 2d + -8d = -6d -6 + -6d = 54 Solving -6 + -6d = 54 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -6d = 54 + 6 Combine like terms: -6 + 6 = 0 0 + -6d = 54 + 6 -6d = 54 + 6 Combine like terms: 54 + 6 = 60 -6d = 60 Divide each side by '-6'. d = -10 Simplifying d = -10
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