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Simplifying -0.5(3.6d + 11.6) = -10.12 Reorder the terms: -0.5(11.6 + 3.6d) = -10.12 (11.6 * -0.5 + 3.6d * -0.5) = -10.12 (-5.8 + -1.8d) = -10.12 Solving -5.8 + -1.8d = -10.12 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5.8' to each side of the equation. -5.8 + 5.8 + -1.8d = -10.12 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + -1.8d = -10.12 + 5.8 -1.8d = -10.12 + 5.8 Combine like terms: -10.12 + 5.8 = -4.32 -1.8d = -4.32 Divide each side by '-1.8'. d = 2.4 Simplifying d = 2.4
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