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Simplifying (2d + -7) = (2 + 4d) * 2 Reorder the terms: (-7 + 2d) = (2 + 4d) * 2 Remove parenthesis around (-7 + 2d) -7 + 2d = (2 + 4d) * 2 Reorder the terms for easier multiplication: -7 + 2d = 2(2 + 4d) -7 + 2d = (2 * 2 + 4d * 2) -7 + 2d = (4 + 8d) Solving -7 + 2d = 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. -7 + 2d + -8d = 4 + 8d + -8d Combine like terms: 2d + -8d = -6d -7 + -6d = 4 + 8d + -8d Combine like terms: 8d + -8d = 0 -7 + -6d = 4 + 0 -7 + -6d = 4 Add '7' to each side of the equation. -7 + 7 + -6d = 4 + 7 Combine like terms: -7 + 7 = 0 0 + -6d = 4 + 7 -6d = 4 + 7 Combine like terms: 4 + 7 = 11 -6d = 11 Divide each side by '-6'. d = -1.833333333 Simplifying d = -1.833333333
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