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Simplifying -5(d + 11) = -100 Reorder the terms: -5(11 + d) = -100 (11 * -5 + d * -5) = -100 (-55 + -5d) = -100 Solving -55 + -5d = -100 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + -5d = -100 + 55 Combine like terms: -55 + 55 = 0 0 + -5d = -100 + 55 -5d = -100 + 55 Combine like terms: -100 + 55 = -45 -5d = -45 Divide each side by '-5'. d = 9 Simplifying d = 9
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