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Simplifying 2(-7 + 7d) = 5d + 34 (-7 * 2 + 7d * 2) = 5d + 34 (-14 + 14d) = 5d + 34 Reorder the terms: -14 + 14d = 34 + 5d Solving -14 + 14d = 34 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -14 + 14d + -5d = 34 + 5d + -5d Combine like terms: 14d + -5d = 9d -14 + 9d = 34 + 5d + -5d Combine like terms: 5d + -5d = 0 -14 + 9d = 34 + 0 -14 + 9d = 34 Add '14' to each side of the equation. -14 + 14 + 9d = 34 + 14 Combine like terms: -14 + 14 = 0 0 + 9d = 34 + 14 9d = 34 + 14 Combine like terms: 34 + 14 = 48 9d = 48 Divide each side by '9'. d = 5.333333333 Simplifying d = 5.333333333
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