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Simplifying 3(2d + -7) = (2 + 4d) Reorder the terms: 3(-7 + 2d) = (2 + 4d) (-7 * 3 + 2d * 3) = (2 + 4d) (-21 + 6d) = (2 + 4d) Remove parenthesis around (2 + 4d) -21 + 6d = 2 + 4d Solving -21 + 6d = 2 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -21 + 6d + -4d = 2 + 4d + -4d Combine like terms: 6d + -4d = 2d -21 + 2d = 2 + 4d + -4d Combine like terms: 4d + -4d = 0 -21 + 2d = 2 + 0 -21 + 2d = 2 Add '21' to each side of the equation. -21 + 21 + 2d = 2 + 21 Combine like terms: -21 + 21 = 0 0 + 2d = 2 + 21 2d = 2 + 21 Combine like terms: 2 + 21 = 23 2d = 23 Divide each side by '2'. d = 11.5 Simplifying d = 11.5
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