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Simplifying 8(8d + -5) + 13 = 12d + -2 Reorder the terms: 8(-5 + 8d) + 13 = 12d + -2 (-5 * 8 + 8d * 8) + 13 = 12d + -2 (-40 + 64d) + 13 = 12d + -2 Reorder the terms: -40 + 13 + 64d = 12d + -2 Combine like terms: -40 + 13 = -27 -27 + 64d = 12d + -2 Reorder the terms: -27 + 64d = -2 + 12d Solving -27 + 64d = -2 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. -27 + 64d + -12d = -2 + 12d + -12d Combine like terms: 64d + -12d = 52d -27 + 52d = -2 + 12d + -12d Combine like terms: 12d + -12d = 0 -27 + 52d = -2 + 0 -27 + 52d = -2 Add '27' to each side of the equation. -27 + 27 + 52d = -2 + 27 Combine like terms: -27 + 27 = 0 0 + 52d = -2 + 27 52d = -2 + 27 Combine like terms: -2 + 27 = 25 52d = 25 Divide each side by '52'. d = 0.4807692308 Simplifying d = 0.4807692308
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