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Simplifying 3(2d + -7) = (2 + 4d) * 2 Reorder the terms: 3(-7 + 2d) = (2 + 4d) * 2 (-7 * 3 + 2d * 3) = (2 + 4d) * 2 (-21 + 6d) = (2 + 4d) * 2 Reorder the terms for easier multiplication: -21 + 6d = 2(2 + 4d) -21 + 6d = (2 * 2 + 4d * 2) -21 + 6d = (4 + 8d) Solving -21 + 6d = 4 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -21 + 6d + -8d = 4 + 8d + -8d Combine like terms: 6d + -8d = -2d -21 + -2d = 4 + 8d + -8d Combine like terms: 8d + -8d = 0 -21 + -2d = 4 + 0 -21 + -2d = 4 Add '21' to each side of the equation. -21 + 21 + -2d = 4 + 21 Combine like terms: -21 + 21 = 0 0 + -2d = 4 + 21 -2d = 4 + 21 Combine like terms: 4 + 21 = 25 -2d = 25 Divide each side by '-2'. d = -12.5 Simplifying d = -12.5
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