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Simplifying 9(8d + -3) + -8(8d + 5) = -1d + 7(d + -5) Reorder the terms: 9(-3 + 8d) + -8(8d + 5) = -1d + 7(d + -5) (-3 * 9 + 8d * 9) + -8(8d + 5) = -1d + 7(d + -5) (-27 + 72d) + -8(8d + 5) = -1d + 7(d + -5) Reorder the terms: -27 + 72d + -8(5 + 8d) = -1d + 7(d + -5) -27 + 72d + (5 * -8 + 8d * -8) = -1d + 7(d + -5) -27 + 72d + (-40 + -64d) = -1d + 7(d + -5) Reorder the terms: -27 + -40 + 72d + -64d = -1d + 7(d + -5) Combine like terms: -27 + -40 = -67 -67 + 72d + -64d = -1d + 7(d + -5) Combine like terms: 72d + -64d = 8d -67 + 8d = -1d + 7(d + -5) Reorder the terms: -67 + 8d = -1d + 7(-5 + d) -67 + 8d = -1d + (-5 * 7 + d * 7) -67 + 8d = -1d + (-35 + 7d) Reorder the terms: -67 + 8d = -35 + -1d + 7d Combine like terms: -1d + 7d = 6d -67 + 8d = -35 + 6d Solving -67 + 8d = -35 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. -67 + 8d + -6d = -35 + 6d + -6d Combine like terms: 8d + -6d = 2d -67 + 2d = -35 + 6d + -6d Combine like terms: 6d + -6d = 0 -67 + 2d = -35 + 0 -67 + 2d = -35 Add '67' to each side of the equation. -67 + 67 + 2d = -35 + 67 Combine like terms: -67 + 67 = 0 0 + 2d = -35 + 67 2d = -35 + 67 Combine like terms: -35 + 67 = 32 2d = 32 Divide each side by '2'. d = 16 Simplifying d = 16
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