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Simplifying 3d + 21 = 13d + -59 Reorder the terms: 21 + 3d = 13d + -59 Reorder the terms: 21 + 3d = -59 + 13d Solving 21 + 3d = -59 + 13d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13d' to each side of the equation. 21 + 3d + -13d = -59 + 13d + -13d Combine like terms: 3d + -13d = -10d 21 + -10d = -59 + 13d + -13d Combine like terms: 13d + -13d = 0 21 + -10d = -59 + 0 21 + -10d = -59 Add '-21' to each side of the equation. 21 + -21 + -10d = -59 + -21 Combine like terms: 21 + -21 = 0 0 + -10d = -59 + -21 -10d = -59 + -21 Combine like terms: -59 + -21 = -80 -10d = -80 Divide each side by '-10'. d = 8 Simplifying d = 8
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