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Simplifying 7(2d + -3) = 5d + 45 Reorder the terms: 7(-3 + 2d) = 5d + 45 (-3 * 7 + 2d * 7) = 5d + 45 (-21 + 14d) = 5d + 45 Reorder the terms: -21 + 14d = 45 + 5d Solving -21 + 14d = 45 + 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. -21 + 14d + -5d = 45 + 5d + -5d Combine like terms: 14d + -5d = 9d -21 + 9d = 45 + 5d + -5d Combine like terms: 5d + -5d = 0 -21 + 9d = 45 + 0 -21 + 9d = 45 Add '21' to each side of the equation. -21 + 21 + 9d = 45 + 21 Combine like terms: -21 + 21 = 0 0 + 9d = 45 + 21 9d = 45 + 21 Combine like terms: 45 + 21 = 66 9d = 66 Divide each side by '9'. d = 7.333333333 Simplifying d = 7.333333333
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