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Simplifying 5d + -8 + -1(5 + -6d) = 0 5d + -8 + (5 * -1 + -6d * -1) = 0 5d + -8 + (-5 + 6d) = 0 Reorder the terms: -8 + -5 + 5d + 6d = 0 Combine like terms: -8 + -5 = -13 -13 + 5d + 6d = 0 Combine like terms: 5d + 6d = 11d -13 + 11d = 0 Solving -13 + 11d = 0 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 + 11d = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 11d = 0 + 13 11d = 0 + 13 Combine like terms: 0 + 13 = 13 11d = 13 Divide each side by '11'. d = 1.181818182 Simplifying d = 1.181818182
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