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Simplifying 4(2d + -7) = 2(2d + 4) Reorder the terms: 4(-7 + 2d) = 2(2d + 4) (-7 * 4 + 2d * 4) = 2(2d + 4) (-28 + 8d) = 2(2d + 4) Reorder the terms: -28 + 8d = 2(4 + 2d) -28 + 8d = (4 * 2 + 2d * 2) -28 + 8d = (8 + 4d) Solving -28 + 8d = 8 + 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. -28 + 8d + -4d = 8 + 4d + -4d Combine like terms: 8d + -4d = 4d -28 + 4d = 8 + 4d + -4d Combine like terms: 4d + -4d = 0 -28 + 4d = 8 + 0 -28 + 4d = 8 Add '28' to each side of the equation. -28 + 28 + 4d = 8 + 28 Combine like terms: -28 + 28 = 0 0 + 4d = 8 + 28 4d = 8 + 28 Combine like terms: 8 + 28 = 36 4d = 36 Divide each side by '4'. d = 9 Simplifying d = 9
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