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Simplifying 8(2d + -5) = 33 + -4d Reorder the terms: 8(-5 + 2d) = 33 + -4d (-5 * 8 + 2d * 8) = 33 + -4d (-40 + 16d) = 33 + -4d Solving -40 + 16d = 33 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. -40 + 16d + 4d = 33 + -4d + 4d Combine like terms: 16d + 4d = 20d -40 + 20d = 33 + -4d + 4d Combine like terms: -4d + 4d = 0 -40 + 20d = 33 + 0 -40 + 20d = 33 Add '40' to each side of the equation. -40 + 40 + 20d = 33 + 40 Combine like terms: -40 + 40 = 0 0 + 20d = 33 + 40 20d = 33 + 40 Combine like terms: 33 + 40 = 73 20d = 73 Divide each side by '20'. d = 3.65 Simplifying d = 3.65
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