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Simplifying 5d + 3(2d + -7) = -5 Reorder the terms: 5d + 3(-7 + 2d) = -5 5d + (-7 * 3 + 2d * 3) = -5 5d + (-21 + 6d) = -5 Reorder the terms: -21 + 5d + 6d = -5 Combine like terms: 5d + 6d = 11d -21 + 11d = -5 Solving -21 + 11d = -5 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 + 11d = -5 + 21 Combine like terms: -21 + 21 = 0 0 + 11d = -5 + 21 11d = -5 + 21 Combine like terms: -5 + 21 = 16 11d = 16 Divide each side by '11'. d = 1.454545455 Simplifying d = 1.454545455
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