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Simplifying -5(d + 3) + -7d = 5 Reorder the terms: -5(3 + d) + -7d = 5 (3 * -5 + d * -5) + -7d = 5 (-15 + -5d) + -7d = 5 Combine like terms: -5d + -7d = -12d -15 + -12d = 5 Solving -15 + -12d = 5 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 + -12d = 5 + 15 Combine like terms: -15 + 15 = 0 0 + -12d = 5 + 15 -12d = 5 + 15 Combine like terms: 5 + 15 = 20 -12d = 20 Divide each side by '-12'. d = -1.666666667 Simplifying d = -1.666666667
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