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Simplifying -5d + 3(2d + -7) = 0 Reorder the terms: -5d + 3(-7 + 2d) = 0 -5d + (-7 * 3 + 2d * 3) = 0 -5d + (-21 + 6d) = 0 Reorder the terms: -21 + -5d + 6d = 0 Combine like terms: -5d + 6d = 1d -21 + 1d = 0 Solving -21 + 1d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 1d = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 1d = 0 + 21 1d = 0 + 21 Combine like terms: 0 + 21 = 21 1d = 21 Divide each side by '1'. d = 21 Simplifying d = 21
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