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Simplifying 2 + 0.5(d + 10) = -8 Reorder the terms: 2 + 0.5(10 + d) = -8 2 + (10 * 0.5 + d * 0.5) = -8 2 + (5 + 0.5d) = -8 Combine like terms: 2 + 5 = 7 7 + 0.5d = -8 Solving 7 + 0.5d = -8 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 0.5d = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 0.5d = -8 + -7 0.5d = -8 + -7 Combine like terms: -8 + -7 = -15 0.5d = -15 Divide each side by '0.5'. d = -30 Simplifying d = -30
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