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Simplifying 3(7d + -5) = 4(4d + 5) Reorder the terms: 3(-5 + 7d) = 4(4d + 5) (-5 * 3 + 7d * 3) = 4(4d + 5) (-15 + 21d) = 4(4d + 5) Reorder the terms: -15 + 21d = 4(5 + 4d) -15 + 21d = (5 * 4 + 4d * 4) -15 + 21d = (20 + 16d) Solving -15 + 21d = 20 + 16d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-16d' to each side of the equation. -15 + 21d + -16d = 20 + 16d + -16d Combine like terms: 21d + -16d = 5d -15 + 5d = 20 + 16d + -16d Combine like terms: 16d + -16d = 0 -15 + 5d = 20 + 0 -15 + 5d = 20 Add '15' to each side of the equation. -15 + 15 + 5d = 20 + 15 Combine like terms: -15 + 15 = 0 0 + 5d = 20 + 15 5d = 20 + 15 Combine like terms: 20 + 15 = 35 5d = 35 Divide each side by '5'. d = 7 Simplifying d = 7
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