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Simplifying 5(5d + -3) = 31d + -57 Reorder the terms: 5(-3 + 5d) = 31d + -57 (-3 * 5 + 5d * 5) = 31d + -57 (-15 + 25d) = 31d + -57 Reorder the terms: -15 + 25d = -57 + 31d Solving -15 + 25d = -57 + 31d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-31d' to each side of the equation. -15 + 25d + -31d = -57 + 31d + -31d Combine like terms: 25d + -31d = -6d -15 + -6d = -57 + 31d + -31d Combine like terms: 31d + -31d = 0 -15 + -6d = -57 + 0 -15 + -6d = -57 Add '15' to each side of the equation. -15 + 15 + -6d = -57 + 15 Combine like terms: -15 + 15 = 0 0 + -6d = -57 + 15 -6d = -57 + 15 Combine like terms: -57 + 15 = -42 -6d = -42 Divide each side by '-6'. d = 7 Simplifying d = 7
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