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Simplifying 6(2d + -13) = 5(10d + -8) Reorder the terms: 6(-13 + 2d) = 5(10d + -8) (-13 * 6 + 2d * 6) = 5(10d + -8) (-78 + 12d) = 5(10d + -8) Reorder the terms: -78 + 12d = 5(-8 + 10d) -78 + 12d = (-8 * 5 + 10d * 5) -78 + 12d = (-40 + 50d) Solving -78 + 12d = -40 + 50d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-50d' to each side of the equation. -78 + 12d + -50d = -40 + 50d + -50d Combine like terms: 12d + -50d = -38d -78 + -38d = -40 + 50d + -50d Combine like terms: 50d + -50d = 0 -78 + -38d = -40 + 0 -78 + -38d = -40 Add '78' to each side of the equation. -78 + 78 + -38d = -40 + 78 Combine like terms: -78 + 78 = 0 0 + -38d = -40 + 78 -38d = -40 + 78 Combine like terms: -40 + 78 = 38 -38d = 38 Divide each side by '-38'. d = -1 Simplifying d = -1
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