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Simplifying 100 + -5(d + 8) = 7(d + -3) + -9d Reorder the terms: 100 + -5(8 + d) = 7(d + -3) + -9d 100 + (8 * -5 + d * -5) = 7(d + -3) + -9d 100 + (-40 + -5d) = 7(d + -3) + -9d Combine like terms: 100 + -40 = 60 60 + -5d = 7(d + -3) + -9d Reorder the terms: 60 + -5d = 7(-3 + d) + -9d 60 + -5d = (-3 * 7 + d * 7) + -9d 60 + -5d = (-21 + 7d) + -9d Combine like terms: 7d + -9d = -2d 60 + -5d = -21 + -2d Solving 60 + -5d = -21 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 60 + -5d + 2d = -21 + -2d + 2d Combine like terms: -5d + 2d = -3d 60 + -3d = -21 + -2d + 2d Combine like terms: -2d + 2d = 0 60 + -3d = -21 + 0 60 + -3d = -21 Add '-60' to each side of the equation. 60 + -60 + -3d = -21 + -60 Combine like terms: 60 + -60 = 0 0 + -3d = -21 + -60 -3d = -21 + -60 Combine like terms: -21 + -60 = -81 -3d = -81 Divide each side by '-3'. d = 27 Simplifying d = 27
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