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Simplifying 8(9d + -6) + 10 = 4d + 574 Reorder the terms: 8(-6 + 9d) + 10 = 4d + 574 (-6 * 8 + 9d * 8) + 10 = 4d + 574 (-48 + 72d) + 10 = 4d + 574 Reorder the terms: -48 + 10 + 72d = 4d + 574 Combine like terms: -48 + 10 = -38 -38 + 72d = 4d + 574 Reorder the terms: -38 + 72d = 574 + 4d Solving -38 + 72d = 574 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -38 + 72d + -4d = 574 + 4d + -4d Combine like terms: 72d + -4d = 68d -38 + 68d = 574 + 4d + -4d Combine like terms: 4d + -4d = 0 -38 + 68d = 574 + 0 -38 + 68d = 574 Add '38' to each side of the equation. -38 + 38 + 68d = 574 + 38 Combine like terms: -38 + 38 = 0 0 + 68d = 574 + 38 68d = 574 + 38 Combine like terms: 574 + 38 = 612 68d = 612 Divide each side by '68'. d = 9 Simplifying d = 9
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