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Simplifying -7d = 27 + -1(3 + -1d) -7d = 27 + (3 * -1 + -1d * -1) -7d = 27 + (-3 + 1d) Combine like terms: 27 + -3 = 24 -7d = 24 + 1d Solving -7d = 24 + 1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -7d + -1d = 24 + 1d + -1d Combine like terms: -7d + -1d = -8d -8d = 24 + 1d + -1d Combine like terms: 1d + -1d = 0 -8d = 24 + 0 -8d = 24 Divide each side by '-8'. d = -3 Simplifying d = -3
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