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Simplifying 9 + 6(1 + -5d) = 21 9 + (1 * 6 + -5d * 6) = 21 9 + (6 + -30d) = 21 Combine like terms: 9 + 6 = 15 15 + -30d = 21 Solving 15 + -30d = 21 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -30d = 21 + -15 Combine like terms: 15 + -15 = 0 0 + -30d = 21 + -15 -30d = 21 + -15 Combine like terms: 21 + -15 = 6 -30d = 6 Divide each side by '-30'. d = -0.2 Simplifying d = -0.2
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