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Simplifying -5(9d + 12) = -3(8d + -1) Reorder the terms: -5(12 + 9d) = -3(8d + -1) (12 * -5 + 9d * -5) = -3(8d + -1) (-60 + -45d) = -3(8d + -1) Reorder the terms: -60 + -45d = -3(-1 + 8d) -60 + -45d = (-1 * -3 + 8d * -3) -60 + -45d = (3 + -24d) Solving -60 + -45d = 3 + -24d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '24d' to each side of the equation. -60 + -45d + 24d = 3 + -24d + 24d Combine like terms: -45d + 24d = -21d -60 + -21d = 3 + -24d + 24d Combine like terms: -24d + 24d = 0 -60 + -21d = 3 + 0 -60 + -21d = 3 Add '60' to each side of the equation. -60 + 60 + -21d = 3 + 60 Combine like terms: -60 + 60 = 0 0 + -21d = 3 + 60 -21d = 3 + 60 Combine like terms: 3 + 60 = 63 -21d = 63 Divide each side by '-21'. d = -3 Simplifying d = -3
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