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Simplifying 2(2d + -7) = (2 + 4d) * 2 Reorder the terms: 2(-7 + 2d) = (2 + 4d) * 2 (-7 * 2 + 2d * 2) = (2 + 4d) * 2 (-14 + 4d) = (2 + 4d) * 2 Reorder the terms for easier multiplication: -14 + 4d = 2(2 + 4d) -14 + 4d = (2 * 2 + 4d * 2) -14 + 4d = (4 + 8d) Solving -14 + 4d = 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. -14 + 4d + -8d = 4 + 8d + -8d Combine like terms: 4d + -8d = -4d -14 + -4d = 4 + 8d + -8d Combine like terms: 8d + -8d = 0 -14 + -4d = 4 + 0 -14 + -4d = 4 Add '14' to each side of the equation. -14 + 14 + -4d = 4 + 14 Combine like terms: -14 + 14 = 0 0 + -4d = 4 + 14 -4d = 4 + 14 Combine like terms: 4 + 14 = 18 -4d = 18 Divide each side by '-4'. d = -4.5 Simplifying d = -4.5
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