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Simplifying -6 = 2(4d + 5) Reorder the terms: -6 = 2(5 + 4d) -6 = (5 * 2 + 4d * 2) -6 = (10 + 8d) Solving -6 = 10 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -6 + -8d = 10 + 8d + -8d Combine like terms: 8d + -8d = 0 -6 + -8d = 10 + 0 -6 + -8d = 10 Add '6' to each side of the equation. -6 + 6 + -8d = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -8d = 10 + 6 -8d = 10 + 6 Combine like terms: 10 + 6 = 16 -8d = 16 Divide each side by '-8'. d = -2 Simplifying d = -2
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