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Simplifying 3d + -1 = 9d + -13 Reorder the terms: -1 + 3d = 9d + -13 Reorder the terms: -1 + 3d = -13 + 9d Solving -1 + 3d = -13 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. -1 + 3d + -9d = -13 + 9d + -9d Combine like terms: 3d + -9d = -6d -1 + -6d = -13 + 9d + -9d Combine like terms: 9d + -9d = 0 -1 + -6d = -13 + 0 -1 + -6d = -13 Add '1' to each side of the equation. -1 + 1 + -6d = -13 + 1 Combine like terms: -1 + 1 = 0 0 + -6d = -13 + 1 -6d = -13 + 1 Combine like terms: -13 + 1 = -12 -6d = -12 Divide each side by '-6'. d = 2 Simplifying d = 2
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