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Simplifying 8 + 5(1 + -2d) = -21 8 + (1 * 5 + -2d * 5) = -21 8 + (5 + -10d) = -21 Combine like terms: 8 + 5 = 13 13 + -10d = -21 Solving 13 + -10d = -21 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -10d = -21 + -13 Combine like terms: 13 + -13 = 0 0 + -10d = -21 + -13 -10d = -21 + -13 Combine like terms: -21 + -13 = -34 -10d = -34 Divide each side by '-10'. d = 3.4 Simplifying d = 3.4
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