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Simplifying 7(d + -3) = 3(d + 5) Reorder the terms: 7(-3 + d) = 3(d + 5) (-3 * 7 + d * 7) = 3(d + 5) (-21 + 7d) = 3(d + 5) Reorder the terms: -21 + 7d = 3(5 + d) -21 + 7d = (5 * 3 + d * 3) -21 + 7d = (15 + 3d) Solving -21 + 7d = 15 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -21 + 7d + -3d = 15 + 3d + -3d Combine like terms: 7d + -3d = 4d -21 + 4d = 15 + 3d + -3d Combine like terms: 3d + -3d = 0 -21 + 4d = 15 + 0 -21 + 4d = 15 Add '21' to each side of the equation. -21 + 21 + 4d = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 4d = 15 + 21 4d = 15 + 21 Combine like terms: 15 + 21 = 36 4d = 36 Divide each side by '4'. d = 9 Simplifying d = 9
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