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Simplifying -5(3d + 15) + 60 = -75 Reorder the terms: -5(15 + 3d) + 60 = -75 (15 * -5 + 3d * -5) + 60 = -75 (-75 + -15d) + 60 = -75 Reorder the terms: -75 + 60 + -15d = -75 Combine like terms: -75 + 60 = -15 -15 + -15d = -75 Solving -15 + -15d = -75 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -15d = -75 + 15 Combine like terms: -15 + 15 = 0 0 + -15d = -75 + 15 -15d = -75 + 15 Combine like terms: -75 + 15 = -60 -15d = -60 Divide each side by '-15'. d = 4 Simplifying d = 4
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